Solution of Parabolic Partial Differential Equations Via Non-Polynomial Cubic Spline Technique

Bilal Ahmad, Anjum Perviz, Muhammad Ozair Ahmad, Fazal Dayan
2021 Scientific Inquiry and Review  
The discovery of parabolic partial differential equation (PDE) has made a profound impact on the scientific, engineering and technological community. A vast amount of research has been conducted to find the solution of parabolic PDEs. In this research, we introduced a novel technique to find the numerical solution of the fourth order PDEs. The novel technique is based upon the polynomial cubic spline method (PCSM) used along with Adomian decomposition method (ADM). The constraint of the
more » ... ive variables was decomposed by ADM to achieve successive approximation. Additionally, a numerical test problem of parabolic PDEs was solved by the proposed technique to check its viability. Copyright (c) The Author
doi:10.32350/sir/53.05 fatcat:xjzqz477gvakbcctjdbk4rglly