Homotopy perturbation method for solving reaction-diffusion equations.
Wang, Yu-Xi, Si, Hua-You, Mo, Lu-Feng (2008)
Mathematical Problems in Engineering
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Displaying similar documents to “Application of He's homotopy perturbation method for Cauchy problem of ill-posed nonlinear diffusion equation.”
Homotopy perturbation method for solving reaction-diffusion equations.
Homotopy perturbation method for solving fourth-order boundary value problems.
Mohyud-Din, Syed Tauseef, Noor, Muhammad Aslam (2007)
Mathematical Problems in Engineering
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Direct solution of th-order IVPs by homotopy analysis method.
Bataineh, A.Sami, Noorani, M.S.M., Hashim, I. (2009)
Differential Equations & Nonlinear Mechanics
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Analytical treatment of generalized Burgers-Huxley equation by homotopy analysis method.
Bataineh, A.Sami, Noorani, M.S.M., Hashim, I. (2009)
Bulletin of the Malaysian Mathematical Sciences Society. Second Series
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Error estimates for barycentric finite volumes combined with nonconforming finite elements applied to nonlinear convection-diffusion problems
Vít Dolejší, Miloslav Feistauer, Jiří Felcman, Alice Kliková (2002)
Applications of Mathematics
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The subject of the paper is the derivation of error estimates for the combined finite volume-finite element method used for the numerical solution of nonstationary nonlinear convection-diffusion problems. Here we analyze the combination of barycentric finite volumes associated with sides of triangulation with the piecewise linear nonconforming Crouzeix-Raviart finite elements. Under some assumptions on the regularity of the exact solution, the and error estimates are established....
Comparative vibration analysis of a parametrically nonlinear excited oscillator using HPM and numerical method.
Khatami, I., Pashai, M.H., Tolou, N. (2008)
Mathematical Problems in Engineering
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Approximate traveling wave solutions of coupled Whitham-Broer-Kaup shallow water equations by homotopy analysis method.
Rashidi, M.M., Ganji, D.D., Dinarvand, S. (2008)
Differential Equations & Nonlinear Mechanics
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Series solution of the multispecies Lotka-Volterra equations by means of the homotopy analysis method.
Bataineh, A.Sami, Noorani, M.S.M., Hashim, I. (2008)
Differential Equations & Nonlinear Mechanics
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Existence of solutions to nonlinear advection-diffusion equation applied to Burgers' equation using Sinc methods
Kamel Al-Khaled (2014)
Applications of Mathematics
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This paper has two objectives. First, we prove the existence of solutions to the general advection-diffusion equation subject to a reasonably smooth initial condition. We investigate the behavior of the solution of these problems for large values of time. Secondly, a numerical scheme using the Sinc-Galerkin method is developed to approximate the solution of a simple model of turbulence, which is a special case of the advection-diffusion equation, known as Burgers' equation. The approximate...