01543nam a22001097a 4500100005100000245016900051260002900220300001000249520110800259650003301367856003301400  aZahid Ali Jamali a19-MSM-13aSanaullah Dehraj  aA Comparison of Adomain Decomposition Method With Homotopy Perturbation Method And Variational Iteration Method for Class of Non Linear Differential Equations (MSM)  aQUEST bNawabshah c2024  a132p.  aABSTRACT

In many branches of scince and technology, it is not always posible to obtain the closed-om solution for differential equations due to many reasons such as nonlinearity of system, occurrence of mixed order derivatives, in-homagесять or non-classical boundary conditions. In such situations an exact-analytical or numenical methods are utilized to construct the solutions of differential equations. The aim of dis shady is to solve the (nonlinear differential equations by well-known Adomian Decomposition method (ADM), Variational heration Method (VIM) and Homolopy Perturbation Method (HPM) and to compare the obtained results with exact solution and to analyze the effectiveness, reliability and rate of convergences of these methods. In this study mostly we have studied second order nonlinear PDE where ABC and D constants or variable coefficients and u Nju) and frepresent unknown function nonlinear term and source term respectively

=(m)++++

Keyword Adomuin Decomposition Method, Homotopy perturbation Method, Variational ineration Method, closed form solution, Adomain polynomial  aDepartment of  Mathematics    uhttps://tinyurl.com/2d44jfy8