Department of Mathematics
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Browsing Department of Mathematics by Subject "Boundary Value Problems, Adomian Decomposition Method, Homotopy Perturbation Method. He,s polynomials"
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Item Modified Adomian Decomposition Method and Homotopy Perturbation Method for Higher-Order Singular Boundary Value Problems(Science International, 2015) Tabassum, Muhammad FarhanIn this paper, we presented effective numerical methods for the approximate solution of nonlinear higher order Boundary Value Problems (BVPs). We proposed a reliable modification of the Adomian Decomposition Method (MADM) that will accelerate the rapid convergence of the series solution. He,s polynomials are also used to overcome the difficult calculation. We also proposed the Homotopy Perturbation Method (HPM) which is highly accurate in witch only a few terms are required to obtain accurate computable solution. The validity of the methods is verified through illustrative examples. The results obtained demonstrate the accuracy and efficiency of the proposed methods.