Solution of Wave Equations and Heat Equations Using HPM

DOI10.1007/978-3-030-01123-9_36zbMath1442.35452OpenAlexW2911290619MaRDI QIDQ3296813

Nahid Fatima, Sunita Daniel

Publication date: 2 July 2020

Published in: Trends in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-01123-9_36

zbMATH Keywords

wave equationsheat equationshomotopy perturbation method

Mathematics Subject Classification ID

Heat equation (35K05) Wave equation (35L05) Perturbations in context of PDEs (35B20) Other special methods applied to PDEs (35A25) PDEs in connection with classical thermodynamics and heat transfer (35Q79)

Cites Work

• The homotopy perturbation method applied to the nonlinear fractional Kolmogorov-Petrovskii-Piskunov equations
• A homotopy perturbation method for solving a neutron transport equation
• Modified homotopy perturbation method for solving the Stokes equations
• Asymptotic expansions for the Sturm-Liouville problem by homotopy perturbation method
• He's homotopy perturbation method for continuous population models for single and interacting species
• Application of he's homotopy perturbation method for solving the Cauchy reaction-diffusion problem
• An elementary introduction to the homotopy perturbation method
• A coupling method of a homotopy technique and a perturbation technique for nonlinear problems
• Homotopy perturbation method for bifurcation of nonlinear problems
• An analytic study of Fisher's equation by using Adomian decomposition method
• Homotopy perturbation technique
• Application of homotopy perturbation method to nonlinear wave equations
• MODIFIED HOMOTOPY PERTURBATION METHOD FOR SOLVING INTEGRAL EQUATIONS
• Improvement of the homotopy perturbation method for solving nonlinear diffusion equations
• SOME ASYMPTOTIC METHODS FOR STRONGLY NONLINEAR EQUATIONS

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