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Zbl 1247.65136
Khan, Majid; Gondal, Muhammad Asif; Vanani, Solat Karimi
On the coupling of homotopy perturbation and Laplace transformation for system of partial differential equations. (English)
[J] Appl. Math. Sci., Ruse 6, No. 9-12, 467-478 (2012). ISSN 1312-885X; ISSN 1314-7552/e

Summary: We propose a new algorithm, namely, the homotopy perturbation transform algorithm (HPTA). This new algorithm provides us with a convenient way to find exact solution with less computation as compared with standard homotopy perturbation algorithm (HPA). The proposed algorithm is used to handle linear and nonlinear partial differential equations. Explicatory examples are incorporated to reveal the high accuracy and fast convergence of proposed new algorithm.

MSC 2000:: *65M99 Numerical methods for IVP of PDE

Keywords: homotopy perturbation transform algorithm; homotopy perturbation method; linear and nonlinear partial differential equations

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