Publications

Publications in peer-reviewed International Journals:

1. R.K. MOHANTY and VENU GOPAL, High Accuracy Cubic Spline finite difference approximation for the Solution of One-space Dimensional Non-linear Wave Equations. Applied

Mathematics and Computation, 218 (2011) 4234-4244. (Publisher -Elsevier).

2. R.K. MOHANTY and VENU GOPAL, High Accuracy Arithmetic Average Type Discretization for the Solution of Two-space Dimensional Non-linear Wave Equations. International Journal of

Modeling, Simulation and Scientific Computing, Vol 3, No.2 (2012) 1150005 (18 pages). (Publisher - World Scientific).

3. R.K. MOHANTY and VENU GOPAL , An Off-step Discretization for the Solution of 1-D Mildly Non-linear Wave Equations with Variable Coefficients. Journal of Advanced Research in

Scientific Computing, Vol 4, Issue. 2 (2012) pp. 1-13. (Publisher - Institute of Advanced Scientific Research, Irvine, California).

4. R.K. MOHANTY and VENU GOPAL , An Off-step High Order Approximation for the Solution of Three-space Dimensional Nonlinear Wave Equations. Applied Mathematical Modelling, 37

(2013) 2802-2815. (Publisher -Elsevier).

5. R.K. MOHANTY and VENU GOPAL, A Fourth Order Finite Difference Method based on Spline in Tension Approximation for the Solution of One-space Dimensional Second Order Quasi-linear

Hyperbolic Equations. Advances in Difference Equations, 2013 (1) 70. (Publisher -Springer).

6. VENU GOPAL, R.K. MOHANTY and L.M. SAHA, A New High Accuracy Non-polynomial Tension Spline Method for the Solution of On Dimensional Wave Equation in Polar Co-ordinates.

(In Press, published online) Journal of Egyptian Mathematical Society, 2013. (Publisher - Elsevier).

7. VENU GOPAL, R.K. MOHANTY and NAVNIT JHA, A New Non-polynomial Spline in Compression Method of O(k²+h⁴) for the solution of 1D Wave Equation in Polar Co-ordinates. Advances

in Numerical Analysis. Vol 2013 (2013), Article ID 470480, 8 pages (Publisher - Hindawi).

8. R.K. MOHANTY and VENU GOPAL, High Accuracy Non-polynomial Spline in Compression finite difference approximation for the Solution of One-space Dimensional Non-linear Wave

Equations.Applied Mathematics and Computation, 238 (2014). (Publisher -Elsevier).