RESEARCH PUBLICATIONS

Pankaj Mishra, Kapil K. Sharma, Amiya K. Pani and Graeme Fairweather. Orthogonal spline collocation for a class of singularly perturbed reaction diffusion problems in one dimension: A Computational Study, Technical Report, November (2016), DOI: 10.13140/RG.2.2.15552.94726.   

Pankaj Mishra, Kapil K. Sharma, Amiya K. Pani and Graeme Fairweather. Orthogonal spline collocation for singularly perturbed reaction diffusion problems in one dimension, Int. J. Numer. Anal. Model., 16(4), pp. 647-667, 2019.

  Pankaj Mishra, Kapil K. Sharma and Graeme Fairweather. Orthogonal spline collocation for singularly perturbed semilinear reaction diffusion problems in one dimension, International Journal for Computational Methods in Engineering Science & Mechanics, 20(5), pp. 336–346 , 2019, Print ISSN: 1550-2287, Online ISSN: 1550-2295.

Pankaj Mishra, Kapil K. Sharma, Amiya K. Pani and Graeme Fairweather. High order discrete-time orthogonal spline collocation methods for singularly perturbed 1D parabolic reaction-diffusion problems. Numerical Methods for Partial Differential Equations, 2020, 36(3) pp. 495-523.

Kapil K. Sharma, Pratima Ray, Pankaj Mishra. A robust numerical scheme for singularly perturbed delay differential equations with turning point. International Journal for Computational Methods in Engineering Science & Mechanics, 20(5), pp. 423–433, 2019, Print ISSN: 1550-2287, Online ISSN: 1550-2295.

Pankaj Mishra, Gajendra  Babu, & Kapil K. Sharma.  Error Estimate in the Balanced Norm for the Singularly Perturbed Reaction–Diffusion Problems. International Journal of Applied & Computational Mathematics, 53(9), pp. 2023. DOI: https://doi.org/10.1007/s40819-023-01543-1 

Jewel Howlader, Pankaj Mishra,  Kapil K Sharma. An Orthogonal Spline Collocation Method for Singularly Perturbed Parabolic Reaction Diffusion Problems with Time Delay. Accepted (2024). Journal of Applied Mathematics and Computing.

Jewel Howlader, Pankaj Mishra,  Kapil K Sharma. An Orthogonal Spline Collocation Method for Singularly Perturbed Semi-linear Parabolic Reaction Diffusion Problems with Time Delay. Accepted (2024). Indian Journal of Pure and Applied Mathematics.