Analytical treatment of system of KdV equations by Homotopy Perturbation Method (HPM) and Homotopy Analysis Method (HAM) [PDF]
In this article the Homotopy Perturbation Method (HPM) and Homotopy Analysis Method (HAM) are applied to obtain analytic approximate solution to three system of nonlinear wave equations, namely two component evolutionary system of a homogeneous KdV ...
Hafiz Abdul Wahab +2 more
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Static analysis of composite beams on variable stiffness elastic foundations by the Homotopy Analysis Method. [PDF]
Doeva O, Masjedi PK, Weaver PM.
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Peakons of Novikov Equation via the Homotopy Analysis Method [PDF]
Aggeliki G. Efstathiou +1 more
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Solving generalized quintic complex Ginzburg–Landau equation by homotopy analysis method
In this paper, the generalized quintic complex Ginzburg–Landau equation is considered to be solved, by means of the homotopy analysis method (HAM). Two examples are solved to illustrate the efficiency of the proposed method.
Soheila Naghshband +1 more
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The Series Solution of Problems in the Calculus of Variations via the Homotopy Analysis Method [PDF]
S. Abbasbandy, Ahmad Shirzadi
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Homotopy Analysis Method Analytical Scheme for Developing a Solution to Partial Differential Equations in Fuzzy Environment [PDF]
Sarmad A. Altaie +5 more
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In this paper, homotopy analysis method is directly extended to investigate nth order semi-differential equations and to derive their numerical solutions which is introduced by replacing some integer-order space derivatives by fractional derivatives ...
H. Hosseini Fadravi∗ +2 more
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Numerical approximation of Newell-Whitehead-Segel equation of fractional order
The aim of the present work is to propose a user friendly approach based on homotopy analysis method combined with Sumudu transform method to drive analytical and numerical solutions of the fractional Newell-Whitehead-Segel amplitude equation which ...
Kumar Devendra, Sharma Ram Prakash
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An approximate solution of fractional cable equation by homotopy analysis method [PDF]
Mustafa İnç, Ebru Cavlak
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