Green's function homotopy perturbation method for the initial-boundary value problems
DOI10.1186/S13662-019-2350-7zbMath1487.65170OpenAlexW2977281767WikidataQ126986411 ScholiaQ126986411MaRDI QIDQ2141937
Panumart Sawangtong, Wannika Sawangtong
Publication date: 25 May 2022
Published in: Advances in Difference Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/s13662-019-2350-7
integral equationinitial-boundary value problemsGreen's function methodSawangtong's Green function homotopy perturbation method
Initial-boundary value problems for second-order parabolic equations (35K20) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99)
Cites Work
- Some notes on using the homotopy perturbation method for solving time-dependent differential equations
- Existence of classical solutions for degenerate semilinear parabolic problems
- Critical speed for the avoidance of blow-up in a reactive-diffusive medium
- A quenching problem for the heat equation
- A coupling method of a homotopy technique and a perturbation technique for nonlinear problems
- Homotopy perturbation technique
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