A modified homotopy perturbation method for singular time dependent Emden-Fowler equations with boundary conditions

DOI10.1007/s10910-016-0594-yzbMath1356.35122OpenAlexW2291097739MaRDI QIDQ282207

Sukhjit Singh, Randhir Singh, Abdul-Majid Wazwaz

Publication date: 12 May 2016

Published in: Journal of Mathematical Chemistry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10910-016-0594-y

zbMATH Keywords

homotopy perturbation methodEmden-Fowler equationsheat-type equationssingular behaviorwave-type equations

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Singular parabolic equations (35K67)

Related Items (6)

Wavelet-Picard iterative method for solving singular fractional nonlinear partial differential equations with initial and boundary conditions ⋮ Shifted Jacobi polynomials for nonlinear singular variable-order time fractional Emden-Fowler equation generated by derivative with non-singular kernel ⋮ Solving partial fractional differential equations by using the Laguerre wavelet-Adomian method ⋮ Haar wavelet collocation method for solving singular and nonlinear fractional time-dependent Emden-Fowler equations with initial and boundary conditions ⋮ 2-D Shallow Water Wave Equations with Fuzzy Parameters ⋮ Optimal homotopy analysis method for the non-isothermal reaction-diffusion model equations in a spherical catalyst

Cites Work

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• First integrals and bifurcations of a Lane-Emden equation of the second kind
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• Homotopy perturbation method: a new nonlinear analytical technique
• Homotopy perturbation method for solving boundary value problems
• Numerical modeling of oxygen diffusion in cells with Michaelis-Menten uptake kinetics
• Homotopy perturbation technique
• A modified homotopy perturbation method coupled with the Fourier transform for nonlinear and singular Lane-Emden equations
• An efficient approach for solving second-order nonlinear differential equation with Neumann boundary conditions
• Solving coupled Lane-Emden boundary value problems in catalytic diffusion reactions by the Adomian decomposition method
• Analytical solution for the time-dependent Emden--Fowler type of equations by Adomian decomposition method
• Exact solutions of the generalized Lane–Emden equation
• On the Generalized Emden–Fowler Equation
• A new algorithm for solving differential equations of Lane-Emden type

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