Document Type: Research Paper


1 Department of Mathematics, Islamic Azad University, Central Tehran Branch, PO. Code 14168-94351, Iran

2 Department of Mathematics, Islamic Azad University, Arac Branch, Iran


One of the efficient and powerful schemes to solve linear and nonlinear equations is homotopy analysis method (HAM). In this work, we obtain the approximate solution of a system of partial differential equations (PDEs) by means of HAM. For this purpose, we develop the concept of HAM for a system of PDEs as a matrix form. Then, we prove the convergence theorem and apply the proposed method to fi nd the approximate solution of some systems of PDEs. Also, we show the region of convergence by plotting the H-surface.


Main Subjects

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