Results 71 to 80 of about 4,171 (232)
Application of homotopy analysis method for solving nonlinear Cauchy problem [PDF]
Surveys in Mathematics and its Applications, 2012 In this paper, by means of the homotopy analysis method (HAM), the solutions of some nonlinear Cauchy problem of parabolic-hyperbolic type are exactly obtained in the form of convergent Taylor series.
V.G. Gupta, Sumit Gupta
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Homotopy analysis transform method for solving Abel’s integral equations of the first kind
Ain Shams Engineering Journal, 2016 In this paper, by combined homotopy analysis method and Laplace transform method, we produce a new powerful method and named homotopy analysis transform method. By using this method, we solve first kind singular integral equations of Abel type. Also, the
Samad Noeiaghdam +2 more
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Convergence of the homotopy analysis method
, 2010 The homotopy analysis method is studied in the present paper. The question of convergence of the homotopy analysis method is resolved. It is proven that under a special constraint the homotopy analysis method does converge to the exact solution of the sought solution of nonlinear ordinary or partial differential equations.
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Numerical solution of time- and space-fractional coupled Burgers’ equations via homotopy algorithm
Alexandria Engineering Journal, 2016 In this paper, we constitute a homotopy algorithm basically extension of homotopy analysis method with Laplace transform, namely q-homotopy analysis transform method to solve time- and space-fractional coupled Burgers’ equations.
Jagdev Singh, Devendra Kumar, Ram Swroop
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Spherical Hybrid Nanoparticles for Homann Stagnation-Point Flow in Porous Media via Homotopy Analysis Method. [PDF]
Nanomaterials (Basel), 2023 You X, Cui J.
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Homotopy analysis method for Cauchy Riemann equations
International Journal of Mathematical Analysis, 2014 In this paper, we obtain the series solution for the Cauchy Riemann equations with initial value problem by using homotopy analysis method (HAM), and computer graphics show that the HAM is efficient in solving Cauchy - Riemann equations.
Liu Xuan, Haidong Qu
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The essence of the homotopy analysis method [PDF]
Applied Mathematics and Computation, 2010 The generalized Taylor expansion including a secret auxiliary parameter $h$ which can control and adjust the convergence region of the series is the foundation of the homotopy analysis method proposed by Liao. The secret of $h$ can't be understood in the frame of the homotopy analysis method. This is a serious shortcoming of Liao's method. We solve the
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Abstract and Applied Analysis, 2012 A modification of homotopy analysis method (HAM) known as spectral homotopy analysis method (SHAM) is proposed to solve linear Volterra integrodifferential equations.
Z. Pashazadeh Atabakan +2 more
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Approximate Representations of Shaped Pulses Using the Homotopy Analysis Method. [PDF]
Magn Reson (Gott), 2021 Crawley T, Palmer AG.
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Solution and Analysis of the Fuzzy Volterra Integral Equations via Homotopy Analysis Method
, 2021 Ali F. Jameel +3 more
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