Two Efficient Methods For Solving Non-linear Fourth-Order PDEs

DOI10.22075/ijnaa.2020.4751OpenAlexW3145218069MaRDI QIDQ5052893

Huda Omran Altaie

Publication date: 25 November 2022

Full work available at URL: https://ijnaa.semnan.ac.ir/article_4751_83a75debb4960158a518c0e7b3d0a79c.pdf

zbMATH Keywords

Lagrange multipliershomotopy methodintroductionPDEsHe's polynomialsLaplace-variational iteration method

Mathematics Subject Classification ID

Numerical analysis (65-XX) Partial differential equations (35-XX)

Cites Work

• Modified variational iteration technique for solving singular fourth-order parabolic partial differential equations.
• Homotopy perturbation transform method for nonlinear equations using He's polynomials
• A Laplace variational iteration strategy for the solution of differential equations
• He-Laplace method for linear and nonlinear partial differential equations
• Analytic treatment for variable coefficient fourth-order parabolic partial differential equations
• Spline methods for the solution of fourth-order parabolic partial differential equations
• A family of second order methods for variable coefficient fourth order parabolic partial differential equations
• A stable explicit method for the finite-difference solution of a fourth-order parabolic partial differential equation
• Variational iteration method for autonomous ordinary differential systems

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