A modified homotopy perturbation method coupled with the Fourier transform for nonlinear and singular Lane-Emden equations
From MaRDI portal
Publication:2339089
DOI10.1016/j.aml.2013.05.010zbMath1308.65134OpenAlexW1999967291MaRDI QIDQ2339089
Publication date: 30 March 2015
Published in: Applied Mathematics Letters (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.aml.2013.05.010
Related Items (13)
Numerical analysis of nonlinear fractional Klein-Fock-Gordon equation arising in quantum field theory via Caputo-Fabrizio fractional operator ⋮ A modified homotopy perturbation method for singular time dependent Emden-Fowler equations with boundary conditions ⋮ Analytical approach for solving population balances: a homotopy perturbation method ⋮ Solving partial fractional differential equations by using the Laguerre wavelet-Adomian method ⋮ Solution of Lane-Emden type equations by combination of the spectral method and Adomian decomposition method ⋮ Haar wavelet collocation method for solving singular and nonlinear fractional time-dependent Emden-Fowler equations with initial and boundary conditions ⋮ Homotopy perturbation and Adomian decomposition methods for condensing coagulation and Lifshitz-Slyzov models ⋮ Derivation and solution of space fractional modified Korteweg de Vries equation ⋮ A Domain Decomposition Based Spectral Collocation Method for Lane-Emden Equations ⋮ A superconvergent B-spline technique for second order nonlinear boundary value problems ⋮ Numerical study of astrophysics equations by meshless collocation method based on compactly supported radial basis function ⋮ Unsteady squeezing flow of Casson fluid with magnetohydrodynamic effect and passing through porous medium ⋮ Unnamed Item
Cites Work
- Unnamed Item
- Unnamed Item
- Qualitative analysis and traveling wave solutions for the perturbed nonlinear Schrödinger's equation with Kerr law nonlinearity
- Approximate analytical solutions of reaction-diffusion equations with exponential source term: Homotopy perturbation method (HPM)
- New exact solutions to the perturbed nonlinear Schrödinger's equation with Kerr law nonlinearity via modified trigonometric function series method
- The Laplace Adomian decomposition method for solving a model for HIV infection of \(CD4^{+}T\) cells
- On the coupling of the homotopy perturbation method and Laplace transformation
- Homotopy perturbation transform method for nonlinear equations using He's polynomials
- Beyond Adomian polynomials: He polynomials
- Solutions of singular IVPs of Lane-Emden type by homotopy perturbation method
- New exact solutions to the perturbed nonlinear Schrödinger's equation with Kerr law nonlinearity
- Partial differential equations and solitary waves theory
- Application of he's homotopy perturbation method for solving the Cauchy reaction-diffusion problem
- Solving frontier problems of physics: the decomposition method
- A coupling method of a homotopy technique and a perturbation technique for nonlinear problems
- He-Laplace method for linear and nonlinear partial differential equations
- A study of the convergence of and error estimation for the homotopy perturbation method for the Volterra-Fredholm integral equations
- Asymptotic methods for solitary solutions and compactons
- Homotopy perturbation technique
- The Solution of Non-linear Diffusion Equation under Stochastic Nonhomogeneity Using Symbolic WHEP and Pickard Algorithms
- Exact Solutions of Fractional-Order Biological Population Model
- Homotopy perturbation method to fractional biological population equation
- SOME ASYMPTOTIC METHODS FOR STRONGLY NONLINEAR EQUATIONS
- Comparison of the Adomian decomposition method and the variational iteration method for solving the Lane‐Emden equations of the first and second kinds
This page was built for publication: A modified homotopy perturbation method coupled with the Fourier transform for nonlinear and singular Lane-Emden equations
