Numerical Solutions of Second order fractionalPDE’s by using Finite-difference Method over randomly generated grids

  • Sanaullah Mastoi , Wan Ainun Mior Othman ,N. Kumaresan

Abstract


In this paper, we are solving second order fractional partial differential equation(FPDE’S), using finite difference method over (Uniform Vs Randomly) meshes Vs Theta Method. The main purpose to examine Numerical solution of FPDEs through finite difference method using randomly generated grids, Numerical Solution using Finite difference method is based on grids. The idea of randomly generated meshes helps to decide the practicability and feasibility of such approaches. In this research, time, iterations and performance measured. We have solutions through randomly generated grids having better results than uniform meshes and theta method.

Published
2020-06-01
How to Cite
Sanaullah Mastoi , Wan Ainun Mior Othman ,N. Kumaresan. (2020). Numerical Solutions of Second order fractionalPDE’s by using Finite-difference Method over randomly generated grids. International Journal of Advanced Science and Technology, 29(11s), 373 - 381. Retrieved from https://sersc.org/journals/index.php/IJAST/article/view/19991
Section
Articles