Homotopy analysis method for singular IVPs of Emden-Fowler type
From MaRDI portal
Publication:716635
DOI10.1016/j.cnsns.2008.02.004zbMath1221.65197OpenAlexW2001553604MaRDI QIDQ716635
A. Sami Bataineh, Mohd. Salmi Md. Noorani, Ishak Hashim
Publication date: 30 September 2011
Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cnsns.2008.02.004
Theoretical approximation of solutions to ordinary differential equations (34A45) Numerical methods for ordinary differential equations (65L99)
Related Items (43)
On flow of a fourth-grade fluid with heat transfer ⋮ A new technique of using homotopy analysis method for solving high-order nonlinear differential equations ⋮ MHD squeezing flow of second-grade fluid between two parallel disks ⋮ On extending the quasilinearization method to higher order convergent hybrid schemes using the spectral homotopy analysis method ⋮ Control of error in the homotopy analysis of solutions to the Zakharov system with dissipation ⋮ Finding optimal convergence control parameter in the homotopy analysis method to solve integral equations based on the stochastic arithmetic ⋮ Optimal homotopy analysis and control of error for solutions to the non-local Whitham equation ⋮ Investigation of heat transfer in flow of Burgers' fluid during a melting process ⋮ A Jacobi-Gauss collocation method for solving nonlinear Lane-Emden type equations ⋮ Analytic and numeric solutions for stagnation-point flow with melting, thermal-diffusion and diffusion-thermo effects ⋮ Soret-Dufour effects on MHD rotating flow of a viscoelastic fluid ⋮ A coupled method of Laplace transform and Legendre wavelets for Lane-Emden-type differential equations ⋮ A successive linearization method approach to solve Lane-Emden type of equations ⋮ New analytic solution to the Lane-Emden equation of index 2 ⋮ Hydromagnetic rotating flow of third grade fluid ⋮ The solution of fourth order boundary value problem arising out of the beam-column theory using Adomian decomposition method ⋮ Stagnation-point flow of a nanofluid towards a stretching sheet ⋮ An efficient computational approach to solving singular initial value problems for Lane-Emden type equations ⋮ Solution method for the transformed time-dependent Michaelis-Menten enzymatic reaction model ⋮ Method for constructing analytical solutions to the Dym initial value problem ⋮ On the choice of auxiliary linear operator in the optimal homotopy analysis of the Cahn-Hilliard initial value problem ⋮ Jacobi pseudo-spectral method JPSM and BPES for solving differential equations ⋮ Control of error in the homotopy analysis of semi-linear elliptic boundary value problems ⋮ An approximation algorithm for the solution of the nonlinear Lane-Emden type equations arising in astrophysics using Hermite functions collocation method ⋮ Collocation method for the numerical solutions of Lane–Emden type equations using cubic Hermite spline functions ⋮ Approximate solutions to a parameterized sixth order boundary value problem ⋮ On convergence of homotopy analysis method and its modification for fractional modified KdV equations ⋮ Unnamed Item ⋮ On the homotopy solution for Poiseuille flow of a fourth grade fluid ⋮ Numerical solutions of partial differential equations by discrete homotopy analysis method ⋮ Multilayer perceptron and Chebyshev polynomials based neural network for solving Emden-Fowler type initial value problems ⋮ Numerical study of astrophysics equations by meshless collocation method based on compactly supported radial basis function ⋮ An operational approach to the Emden-Fowler equation ⋮ An elegant exact solutions for the Emden-Fowler equations of the first kind ⋮ Approximate series solution of singular boundary value problems with derivative dependence using Green's function technique ⋮ Efficient low-error analytical-numerical approximations for radial solutions of nonlinear Laplace equations ⋮ A fast-converging recursive approach for Lane-Emden type initial value problems arising in astrophysics ⋮ Rational Legendre pseudospectral approach for solving nonlinear differential equations of Lane-Emden type ⋮ Direct solution of \(n\)th-order IVPs by homotopy analysis method ⋮ A solution to the Lane-Emden equation in the theory of stellar structure utilizing the Tau method ⋮ Four techniques based on the B-spline expansion and the collocation approach for the numerical solution of the Lane-Emden equation ⋮ Exact and analytical solutions for a nonlinear sigma model ⋮ A rapid-converging analytical iterative scheme for solving singular initial value problems of Lane-Emden type
Cites Work
- Unnamed Item
- Unnamed Item
- Exact flow of a third grade fluid past a porous plate using homotopy analysis method
- On exact solution of Laplace equation with Dirichlet and Neumann boundary conditions by the homotopy analysis method
- Homotopy analysis of MHD flows of an Oldroyd 8-constant fluid
- Approximate explicit solutions of nonlinear BBMB equations by homotopy analysis method and comparison with the exact solution
- Solutions of time-dependent Emden-Fowler type equations by homotopy-perturbation method
- Solutions of time-dependent Emden-Fowler type equations by homotopy analysis method
- Solving systems of ODEs by homotopy analysis method
- An explicit, totally analytic approximate solution for Blasius' viscous flow problems
- The application of homotopy analysis method to nonlinear equations arising in heat transfer
- A new branch of solutions of boundary-layer flows over an impermeable stretched plate
- Solution of physical problems by decomposition
- A kind of approximation solution technique which does not depend upon small parameters. II: An application in fluid mechanics
- On the homotopy analysis method for nonlinear problems.
- Explicit analytic solution for similarity boundary layer equations.
- Linearization techniques for singular initial-value problems of ordinary differential equations
- Adomian decomposition method for a reliable treatment of the Emden-Fowler equation
- Homotopy perturbation method: a new nonlinear analytical technique
- An approximate solution technique not depending on small parameters: A special example
- Series solutions of nano boundary layer flows by means of the homotopy analysis method
- Homotopy analysis method for quadratic Riccati differential equation
- Analytical solution for the time-dependent Emden--Fowler type of equations by Adomian decomposition method
- The modified decomposition method for analytic treatment of differential equations
- Homotopy solutions for a generalized second-grade fluid past a porous plate
- Comparison between the homotopy analysis method and homotopy perturbation method
- Nonperturbative approximate solution for Lane–Emden equation
- The Numerical Solution of Special Fourth-Order Boundary Value Problems by the Modified Decomposition Method
- A new algorithm for solving differential equations of Lane-Emden type
This page was built for publication: Homotopy analysis method for singular IVPs of Emden-Fowler type