Application of He's homotopy perturbation method for multi‐dimensional fractional Helmholtz equation

DOI10.1108/09615531211215738zbMath1357.65189OpenAlexW2052302718MaRDI QIDQ2966961

Ahmet Yildirim, Praveen Kumar Gupta, K. N. Rai

Publication date: 28 February 2017

Published in: International Journal of Numerical Methods for Heat & Fluid Flow (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1108/09615531211215738

zbMATH Keywords

solutionsinitial value problemsdifferential equationsHelmholtz equationmathematicsmultidimensional partial differential equationsHe's homotopy perturbation methodCaputo differentiation operator

Mathematics Subject Classification ID

Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Fractional partial differential equations (35R11)

Related Items (12)

An efficient approach for solution of fractional-order Helmholtz equations ⋮ Exact solutions of the 3D fractional Helmholtz equation by fractional differential transform method ⋮ Novel evaluation of fuzzy fractional Helmholtz equations ⋮ Application of He's homotopy perturbation method for multi‐dimensional fractional Helmholtz equation ⋮ Fractional calculus for nanoscale flow and heat transfer ⋮ Application of the homotopy perturbation method to an inverse heat problem ⋮ New travelling wave solutions for coupled fractional variant Boussinesq equation and approximate long water wave equation ⋮ Approximate solutions of multi-order fractional advection-dispersion equation with non-polynomial conditions ⋮ Rogue waves in the (2+1)-dimensional nonlinear Schrodinger equations ⋮ Local fractional differential equations by the Exp-function method ⋮ A tutorial review on fractal spacetime and fractional calculus ⋮ Application of the local fractional series expansion method and the variational iteration method to the Helmholtz equation involving local fractional derivative operators

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