Approximate analytical solutions of systems of PDEs by homotopy analysis method
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Publication:945192
DOI10.1016/j.camwa.2007.11.022zbMath1142.65423OpenAlexW2018547073MaRDI QIDQ945192
A. Sami Bataineh, Ishak Hashim, Mohd. Salmi Md. Noorani
Publication date: 11 September 2008
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2007.11.022
nonlinear systemshomotopy analysis methodvariational iteration methodsystems of PDEsadomian decomposition method
Related Items (23)
Multivalued behavior for a two-level system using homotopy analysis method ⋮ The method based on series solution for identifying an unknown source coefficient on the temperature field in the quasiperiodic media ⋮ MHD axisymmetric flow of third grade fluid between porous disks with heat transfer ⋮ Modified integral homotopy expansive method to find power series solutions of linear ordinary differential equations about ordinary points ⋮ A numerical computation of a system of linear and nonlinear time dependent partial differential equations using reduced differential transform method ⋮ Solving the inverse problem of identifying an unknown source term in a parabolic equation ⋮ Boundary layer flow of second grade fluid in a cylinder with heat transfer ⋮ Series solution of the system of fuzzy differential equations ⋮ Homotopy analysis method with a non-homogeneous term in the auxiliary linear operator ⋮ Solving the backward heat conduction problem by homotopy analysis method ⋮ Series solution of the multispecies Lotka-Volterra equations by means of the homotopy analysis method ⋮ The homotopy analysis method for Cauchy reaction-diffusion problems ⋮ An approach based on matrix polynomials for linear systems of partial differential equations ⋮ Solving a system of nonlinear fractional partial differential equations using homotopy analysis method ⋮ On the selection of auxiliary functions, operators, and convergence control parameters in the application of the homotopy analysis method to nonlinear differential equations: a general approach ⋮ On a new reliable modification of homotopy analysis method ⋮ Modified homotopy analysis method for solving systems of second-order BVPs ⋮ Solving two-dimensional nonlinear fuzzy Volterra integral equations by homotopy analysis method ⋮ Series solutions of time-fractional PDEs by homotopy analysis method ⋮ Solution of fully developed free convection of a micropolar fluid in a vertical channel by homotopy analysis method ⋮ Application of weighted homotopy analysis method to solve an inverse source problem for wave equation ⋮ Direct solution of \(n\)th-order IVPs by homotopy analysis method ⋮ Unnamed Item
Cites Work
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