Solution of Parabolic Partial Differential Equations Via Non-Polynomial Cubic Spline Technique
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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 alternative 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.
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Copyright (c) 2021 Bilal Ahmad, Anjum Perviz, Muhammad Ozair Ahmad, Fazal Dayan
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