Exact solutions for variable coefficients fourth-order parabolic partial differential equations in higher-dimensional spaces

DOI10.1016/S0096-3003(01)00109-6zbMath1024.35037OpenAlexW1975108114MaRDI QIDQ1855752

Abdul-Majid Wazwaz

Publication date: 28 January 2003

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0096-3003(01)00109-6

zbMATH Keywords

decomposition methodnoise terms

Mathematics Subject Classification ID

Series solutions to PDEs (35C10) Solutions to PDEs in closed form (35C05) Initial value problems for higher-order parabolic equations (35K30)

Related Items (14)

Exact solutions to one dimensional non-homogeneous parabolic problems by the homogeneous Adomian decomposition method ⋮ A new analytic algorithm of Lane--Emden type equations ⋮ An exact solution for variable coefficient fourth-order wave equation using the Adomian method ⋮ An extension of the decomposition method for solving nonlinear equations and its convergence ⋮ Exact solutions to nonlinear Schrödinger equation with variable coefficients ⋮ Unnamed Item ⋮ He's variational iteration method for fourth-order parabolic equations ⋮ Analytical solution of fractionally damped beam by Adomian decomposition method ⋮ High accuracy implicit variable mesh methods for numerical study of special types of fourth order non-linear parabolic equations ⋮ He's homotopy perturbation method for fourth-order parabolic equations ⋮ A note on the use of modified Adomian decomposition method for solving singular boundary value problems of higher-order ordinary differential equations ⋮ Natural frequencies of thin rectangular plates using homotopy-perturbation method ⋮ High accuracy compact operator methods for two-dimensional fourth order nonlinear parabolic partial differential equations ⋮ Convergence of the homotopy perturbation method for partial differential equations

Cites Work

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• A note on solving the fourth order parabolic equation by the age method
• On the solution of the fourth order parabolic equation by the decomposition method
• A stable explicit method for the finite-difference solution of a fourth-order parabolic partial differential equation

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