International Journal
Kan Thotakul, Anirut Luadsong, "A Numerical Approximation of Conformable Maxwell-Schrodinger Equations", International Journal of Mathematics and Computer Science 19(2024), no. 3, 771–789.
Kan Thotakul, Anirut Luadsong, Nitima Aschariyaphotha, "Meshless Method for solving the Conformable Fractional Maxwell Equations", International Journal of Mathematics and Computer Science 18(2023), no. 2, 261–281.
P Anuchaivong, A Luadsong, "The relationship between Atmospheric Variables and Interflow Using the Modified Analog Method over the Storage Dam in Thailand", International Journal of Mathematics and Computer Science 17 (2022), no. 3, 1259-1275.
N Nualsaard, A Luadsong, N Aschariyaphotha, "The Numerical Solution of Fractional Black-Scholes-Schrodinger Equation Using the RBFs Method", Advances in Mathematical Physics, Volume 2020, Article ID 1942762 https://doi.org/10.1155/2020/1942762
K Phramrung, A Luadsong, N Aschariyaphotha, "Numerical approximation of the fractional HIV model using the meshless local Petrov–Galerkin method", Advances in Difference Equations 2019 (1), 1-14
N. Thamareerat, A. Luadsong, N. Aschariyaphotha, "Stability results of a fractional model for unsteady-state fluid flow problem", Advances in Difference Equations (2017), 2017: 74. doi:10.1186/s13662-017-1116-3.
P. Anuchaivong, D. Sukawat, A. Luadsong, "Statistical Downscaling for Rainfall Forecasts Using Modified Constructed Analog Method in Thailand", The Scientific World Journal (Atmospheric Sciences), Volume 2017 (2017), Article ID 1075868, 24 pages, https://doi.org/10.1155/2017/1075868 .
N. Thamareerat, A. Luadsong, N. Aschariyaphotha, "The meshless local Petrov-Galerkin method based on moving Kriging interpolation for solving the time fractional Navier-Stokes equations", SpringerPlus, Volume 5, Issue 417, Pages 1-19, 2016. DOI :10.1186/s40064-016-2047-2.
P. Phaochoo, A. Luadsong, N. Aschariyaphotha, "A numerical study of the European option by the MLPG method with moving kriging interpolation", SpringerPlus, Volume 5, Issue 305, Pages 1-14, 2016. DOI :10.1186/s40064-016-1947-5.
P. Phaochoo, A. Luadsong, N. Aschariyaphotha, "The meshless local Petrov–Galerkin based on moving kriging interpolation for solving fractional Black–Scholes model", Journal of King Saud University-Science, Volume 28, Issue 1, Pages 111-117, 2016. http://dx.doi.org/10.1016/j.jksus.2015.08.004
S. Khankham, A. Luadsong, and N. Aschariyaphotha, "MLPG Method Based on Moving Kriging Interpolation for Solving Convection-Diffusion Equations with Integral Condition", Journal of King Saud University-Science, Volume 27, Issue 4,Pages 292-301, 2015. http://dx.doi.org/10.1016/j.jksus.2015.03.001
S. Kaewumpai and A. Luadsong, "Two-field-variable meshless method based on moving kriging interpolation for solving simply supported thin plates under various loads", Journal of King Saud University-Science, Volume 27, Issue 3,Pages 209-216, 2015. http://dx.doi.org/10.1016/j.jksus.2014.12.003
Kosum Chansaengkrachang, Anirut Luadsong, Nitima Aschariyaphotha, "Moisture Transport over the Indian Ocean and South China Sea Associated with Rainfall over Thailand during 2010 and 2011", Advances and Applications in Fluid Mechanics (AAFM), Volume 17, Number 2, Pages 195 - 208, 2015.
Anirut Luadsong, Kanittha Yimnak, "The MLPG Method Based on Radial Point Interpolation Method for Solving Coupled Nonlinear Reaction-Diffusion Equations", Asian Journal of Applied Sciences, Vol 2, No 5 (2014): October 2014, pp. 585-590.
C. Sataprahm and A. Luadsong, "Meshless Local Petrov-Galerkin method for simulating unsteady incompressible fluid flow", Journal of the Egyptian Mathematical Society, Volume 22, Issue 3, October 2014, Pages 501-510, 2014. http://dx.doi.org/10.1016/j.joems.2013.10.002
Piampholphan, K; Luadsong, A. and Aschariyaphotha, N. , "A Study of Water Mass Transports Between the Gulf of Thailand and the South China Sea", Advances and Applications in Fluid Mechanics (AAFM), Volume 16, Number 2, Pages 237 - 251, 2014.
Kanittha Yimnak and Anirut Luadsong, "Numerical Solution of Coupled Nonlinear Reaction-Diffusion Equations Based on Moving Kriging Interpolation", Advances and Applications in Fluid Mechanics (AAFM), Volume 16, Number 2, Pages 163 - 177, 2014.
A. Luadsong, "A Second-Order Pressure-Correction Projection Scheme for the k-ε Turbulence Model", Advances and Applications in Fluid Mechanics (AAFM), Volume 16, Number 1, Pages 1 - 30, 2014.
Kanittha Yimnak and Anirut Luadsong, “A Local Integral Equation Formulation Based on Moving Kriging Interpolation for Solving Coupled Nonlinear Reaction-Diffusion Equations,” Advances in Mathematical Physics, vol. 2014, Article ID 196041, 7 pages, 2014. http://dx.doi.org/10.1155/2014/196041
Supanut Kaewumpai, Suwon Tangmanee, Anirut Laudsong, "A Meshless Local Petrov-Galerkin Method for Solving the Biharmonic Equation", Advanced Materials Research, Vols. 931-932 (2014) pp 1488-1494, 2014. http://dx.doi.org/10.4028/www.scientific.net/AMR.931-932.1488
S. Kaewumpai and A. Luadsong, "A meshless radial point interpolation method with two field variables for solving simply supported thin plate problems", Far East Journal of Mathematical Sciences (FJMS), Volume 85, Number 1, Pages 67 - 85 , 2014.
C. Sittipolpat and A. Luadsong, "A Meshless Local Petrov-Galerkin Method with Radial Point Interpolation for Solving Transient Heat Conduction Problems", Advances in Theoretical and Applied Mathematics (ATAM), Volume 8 - Number 3 -, Pages 217 - 228, 2013.
C. Sataprahm and A. Luadsong, "The MLPG method based on two field variables technique for solving Navier-Stokes equations", Advances and Applications in Fluid Mechanics (AAFM), Volume 14, Number 1, Pages 129 - 145, 2013.
C. Sataprahm and A. Luadsong, "The MLPG method for simulating incompressible fluid flows with pure Neumann's boundary condition of Poisson's equation", Advances in Theoretical and Applied Mathematics (ATAM), Volume 8, Number 2, Pages 323 - 338, 2013.
C. Sataprahm and A. Luadsong, "The Numerical Algorithm of MLPG method for solving Navier Stokes equations", Far East Journal of Mathematical Sciences (FJMS), Volume 74, Number 1, Pages 53 - 72, 2013.
T. Techapirom and A. Luadsong, "The MLPG with Improved Weight Function for Two-Dimensional Heat Equation with Non-Local Boundary Condition", Journal of King Saud University - Science (JKSUS), Volume 25,Pages 341-348, 2013. http://dx.doi.org/10.1016/j.jksus.2013.02.007.
T. Techapirom and A. Luadsong, “Meshless Local Petrov-Gelerkin Method for the Two-Dimensional Diffusion Problem with Non-Local Boundary Condition”, Far East Journal of Mathematical Sciences (FJMS), Volume 72, Number 1, Pages 37 - 56, 2013.
T. Techapirom and A. Luadsong, “Improved weight function in MLPG method for the Two-Dimension Diffusion Equation”, Far East Journal of Mathematical Sciences (FJMS), Volume 72, Number 1, Pages 175 - 189, 2013.
Supawinee Khankham, N.Aschariyaphotha, Anirut Luadsong and Warisa Yomsatieankul,2012 “ Mlpg Method for the Two-Dimensional time Dependent Convection-Diffusion Equation.” Far East Journal of Mathematical Sciences (FJMS), Volume 67, Issue 2, Pages 229 - 247, 2012.
A. Luadsong, "The Differential Multipoint Boundary Value Problem for 2D Shape-Preserving Splines", Far East Journal of Applied Mathematics, Volume 58, Number 2, 2011, Pages 111-131.
Nitima Aschariyaphotha, Pratan Sakkaplangkul, Anirut Luadsong, "Numerical Grid Generation of Oceanic Model for the Andaman Sea", International Journal of Computational and Mathematical Sciences: World Academy of Science, Engineering and Technology, Volume 5 Number 1 2011, page 54-57.
Anirut Luadsong and Nitima Aschariyaphotha, "The Splitting Upwind Schemes for Spectral Action Balance Equation", International Journal of Computational and Mathematical Sciences: World Academy of Science, Engineering and Technology, Volume 5 Number 1 2011, page 35-43.
Anirut Luadsong, "A Second Order Projection Schemefor the k-epsilon Turbulence Model", International Journal of Mathematical and Computer Sciences 6:2 2010, page 58-64.
Tanapat Brikshavana and Anirut Luadsong, "Splitting Modified Donor-Cell Schemes for Spectral Action Balance Equation", International Journal of Computational and Mathematical Sciences, World Academy of Science, Engineering and Technology, Volume 4 Number 4 2010, page 214-222.
T. Brikshavana and A. Luadsong, "Fractional-Step Method for Spectral Action Balance Equation", Far East Journal of Mathematical Sciences (FJMS), Volume 37(2) 2010, 193-207.
K.Ratchagit, S.Chunrungsikul, U.Humphries, A.Luadsong, 2009.“Asymptotic Stability of Time Varying Delay-Difference System of Cellular Neural Networks via Matrix Inequalities,” International Mathematical Forum, 4, 2009, no.15, 747-755.
P. Kumam, K. Wattanawitoon and A. Luadsong , A modified three-step composite iteration method for common fixed points of nonexpansive mapping in Banach spaces , International Journal of Applied Mathematics and Mechanics, volume 5(8), 10-21, 2009. (NCT: 2552)
W. Wannawong, U. Humphries and A. Luadsong, "The Application of Curvilinear Coordinate for Primitive Equation in the Gulf of Thailand", Thai Journal of Mathematics, Vol. 6 No. 1, 2008.
M. Tanulert, A. Luadsong and D. Sukawat, "Numerical Simulations of Airflow around Elevated Expressways over Street Canyons", Thai Journal of Mathematics, Volume 5 Number 1, pp. 109-126, 2007.
Poom Kumam, A. Luadsong and O. Suttisri, "Random Implicit Iterations Process for Common Random Fixed Points of Finite Family of Strictly Pseudo contractive Random Operators", The Far East Journal of Mathematical Sciences, Volume 25, Issue 3, pp. 433-445, 2007.
A. Luadsong and O. Suttisri, "Shape-Preserving Spline Approximation by Simple Iterative Method", The Far East Journal of Applied Mathematics, Volume 26, No. 3, pp. 361-373, 2007.
W. Wannawong, U. Humphries and A. Luadsong, "Sea Surface Elevation of the Primitive Equation Oceanic Model for the Gulf of Thailand ", Thai Journal of Mathematics, Special Issue (Annual Meeting in Mathematics), pp.83-100, 2006.
A. Luadsong and S. Wongwises , "Numerical Algorithm of Heat and Mass Transfer for Turbulent Flow of Liquid-Gas Cocurrent Flow in a Vertical Pipe ", Thai Journal of Mathematics (International), Special Issue, 2005, pp.111-118.
Warachat Wannawong , Usa Wannasingha Humphries, and Anirut Luadsong , "The leap-frog finite difference technique oceanic model in the gulf of Thailand ", Thai Journal of Mathematics (International), Special Issue, 2005, pp.99-110.
Anirut Luadsong and Chortip Siwapornnanan , "A Parallel Algorithm for Solving 2-D of Shape-Preserving Spline ", Thai Journal of Mathematics (International), Special Issue, 2005, pp.119-130.
International Conference
P. Anuchaivong, D. Sukawat, A. Luadsong, 2016, "Rainfall Forecast Using Adapting Analog Method in the North of Thailand", the 3rd International Conference on Civil, Biological and Environmental Engineering (CBEE-2016), Dec. 12-13, 2016 Phuket (Thailand).
P. Anuchaivong, D. Sukawat, A. Luadsong, 2016, "CLIMATE PREDICTION OF DAILY RAINFALL FORECASTING IN THAILAND USING MCA ANALYSIS", The 7th RMUTP International Conference on Science, Technology and Innovation for Sustainable Development: Challenges towards the green innovative society, 23-24 June 2016, The Sukosol, Bangkok, Thailand.
P. Phaochoo and A. Luadsong, 2015: "Numerical solution of the fractional Black-Scholes equation", International Conference on Applied Statistics 2015, 15-17 July 2015, Siam Bayshore Resort & Spa, Pattaya, Thailand.
N. Thamareerat, A. Luadsong, N. Aschariyaphotha, 2015: "The meshless local Petrov-Galerkin method for solving the time fractional Burgers Equation", International Conference on Applied Statistics 2015, 15-17 July 2015, Siam Bayshore Resort & Spa, Pattaya, Thailand.
Kosum Chansaengkrachang, Anirut Luadsong, Nitima Aschariyaphotha, 2014: "Moisture Transport over the Indian Ocean and South China Sea Associated with Rainfall over Thailand in 1999", the 6th International Science, Social Science, Engineering and Energy Conference (I-SEEC 2014), December 17-19, 2014,Udon Thani, Thailand.
P. Phaochoo, A. Luadsong, 2014: "Meshless Local-Petrov Galerkin method for solving the Black-Scholes equation", the 6th International Science, Social Science, Engineering and Energy Conference (I-SEEC 2014), December 17-19, 2014,Udon Thani, Thailand.
Kanittha Yimnak and Anirut Luadsong, 2014: "The MLPG Method Based on Radial Point Interpolation Method for Solving Coupled Nonlinear Reaction--Diffusion Equations", The 4th International Conference on Engineering and Applied Science (2014 ICEAS), 22-24 July, 2014 Sapporo, Japan, pp.574-584.
Piampholphan, K; Luadsong, A. and Aschariyaphotha, N. , 2014: “A Study of Heat Content of Volume in the Gulf of Thailand", The 5th National and International Hatyai Conference, May 16, 2014, pp.1247-1256.
Piampholphan, K; Luadsong, A. and Aschariyaphotha, N. , 2014: “Heat and Freshwater Transports between the Gulf of Thailand and the South Chaina Sea", The 1st International Conference on Applied Science,Technology and Management, April 23-25, 2014, pp. 44-49.
Khankham, S.; Luadsong, A. and Aschariyaphotha, N. , 2014: “A meshless local Petrov-Galerkin method with moving Kriging interpolation for solving convection-diffusion problem”, Proceeding of the 18th International Annual Symposium on Computational Science and Engineering, March 17-19, 2014, Thailand, pp. 85-92.
Yimnak, K. and Luadsong, A., 2014: “MLPG4 method based on moving Kriging approximation for solving diffusion equation and coupled nonlinear reaction-diffusion equations with dirichlet boundary condition”, Proceeding of the 18th International Annual Symposium on Computational Science and Engineering, March 17-19, 2014, Thailand, pp. 93-100.
Thamareerat, N.; Luadsong, A. and Aschariyaphotha, N., 2014: “Solving the two-dimensional shallow water equations using Eulerian-Lagrangian approaches”, Proceeding of the 18th International Annual Symposium on Computational Science and Engineering, March 17-19, 2014, Thailand, pp.101-107
Chansaengkrachang, K.; Luadsong, L. and Aschariyaphotha, N., 2014: “Moisture transport over Southeast Asia during rainy season in 2011 and 2012” , Proceeding of the 18th International Annual Symposium on Computational Science and Engineering, March 17-19, 2014, Thailand, pp.157-164.
Thiphan, S. and Luadsong, A., 2014: “A local approximation based on integrated radial basis functions for biharmonic problem”, Proceeding of the 18th International Annual Symposium on Computational Science and Engineering, March 17-19, 2014, Thailand, pp. 165-172.
Kaewumpai, S.; Tangmanee, S. and Luadsong, A., 2014: “A Meshless Method based on RPIM with Two Feld Variables for Solving theBiharmonic Equation”, Proceeding of the 1st International Conference on Engineering Science and Innovative Technology, April 8-10, 2014, Thailand, pp. 206-211.
Yimnak, K. and Luadsong, A., 2014: “The MLPG Method for Solving Coupled Nonlinear Reaction-Diffusion Equations”, Proceeding of the 1st International Conference on Engineering Science and Innovative Technology, April 8-10, 2014, Thailand, pp. 342-347.
Khankham, S.; Luadsong, A. and Aschariyaphotha, N. , 2014: “The MLPG Method for Computational Mechanic with Non-Local Boundary Condition”, Proceeding of the 1st International Conference on Engineering Science and Innovative Technology, April 8-10, 2014, Thailand, pp. 348-353.
Kaewumpai, S.; Tangmanee, S. and Luadsong, A., 2014: “A Meshless Local Petrov-Garlerkin Method for Solving The Biharmonic Equation”, Proceeding of the 5th KKU International Engineering Conference, March 27-29, 2014, Thailand, pp 341.
Kriengsak Wattanawitoon, Anirut Luadsong and Poom Kumam, A Modified Ishikawa Iterative Algorithm for Fixed Points of Nonexpansive Semigroups, The 10th International Conference on Nonlinear Functional Analysis and Applications (IC-NFAA 2009), July 27 - 31, 2009 at Kyungnam University and Gyeongsang National University in Korea.
M. Vijijaroungwattana, A. Luadsong, S" Sombunsukho, "A Study og Infomation Technology Trainning Curriculum Appropriate for Supporting Personnel of King Mongkut's University of Technology Thonburi", Proceeding of The 6th International Conference on Developing Real-Life Planning Experiences: Technologies for Education, Faculty of Industrial Education, King Mongkut's Institute of Technology Ladkrabang, Bangkok, Thailand, August 7-8, 2008.
D. Sukawat , A. Luadsong, and P. Isarakul 2008. "Numerical simulation of shallow water equations with a new skipped grid", Fifth International Conference on Science, Mathematics and Technology Education Udon Thani Thailand 2008 p. 93.
Usa Wannasingha Humphries, Anirut Luadsong , and Worachat WANNAWONG, "The numerical primitive equation oceanic model of temperature and salinity for the Gulf of Thailand ", International Conference on Mathematical Analysis and Its Applications (ICMAA 2006), Chulalongkorn University, Bangkok, Thailand, May 24-26, 2006, pp.61.
Anirut Luadsong , "The Fractional Steps Method for 2D-DMBVP ", International Conference on Scientific Computing (ICSC05), Nanjing, China, June 4 - June 8, 2005, pp.108.
National Journal
นันทพล ธัมอารีย์รัตน์, จิราภรณ์ รัตนพิบูลย์, ลลิตา ลักษิตานนท์, อนิรุธ ลวดทรง, นิติมา อัจฉริยะโพธา, Alternating Approach to Improve Accuracy for Parabolic Equation, วารสารวิจัยรามคำแหง (วิ ทยาศาสตร์และเทคโนโลยี ) ปี ที่ 15 ฉบับที่ 2 กรกฎาคม - ธันวาคม 2555 หน้า 55-64.
National Conference
Usa Wannasingha Humphries, Anirut Luadsong , and Worachat WANNAWONG, "Elevation of the primitive equation oceanic model for the gulf of Thailand ", The 11st National Conference on Mathematic, Chulalongkorn University, Bangkok, Thailand, May 18-19, 2006, pp.32.
Somsiri Payakkarak , Anirut Luadsong , and Dusadee Sukawat , "The effects of elevated-train track on wind flow in street canyon: A Numerical Study ", The 11st National Conference on Mathematic, Chulalongkorn University, Bangkok, Thailand, May 18-19, 2006, pp.18.
Anirut Luadsong and Chortip Siwapornnanan , "Parallel Algorithms of 1-D Shape-preserving Spline Interpolation Problem ", in: Proceedings of the 9th Annual National Symposium on Computational Science and Engineering (ANSCSE9), Mahidol University, Bangkok, Thailand, March 23-25, 2005, pp.167-175.
Anirut Luadsong , "The Method for 2-D Shape Preserving Interpolation Problem ", in: Proceedings of the 7th Annual National Symposium on Computational Science and Engineering (ANSCSE7), Chulalongkorn University, Bangkok, Thailand, March 24-26, 2003, pp.351-360.
Boris Kvasov and Anirut Luadsong , "Difference method for constructing shape-preserving splines ", in: Proceedings of the Fifth Annual National Symposium on Computational Science and Engineering (ANSCSE'2001), Bangkok Conventional Center, Central Plaza, June 18-20, 2001, pp.390-397.
Boris Kvasov and Anirut Luadsong , "Approximation by Lagrange splines ", in: Proceedings of the Fourth Annual National Symposium on Computational Science and Engineering (ANSCSE'2000), Kasetsart University, March 27-29, 2000, pp.306-315.