Determination of optimal convergence-control parameter value in homotopy analysis method
DOI10.1007/s11075-012-9680-9zbMath1283.65073OpenAlexW1972680854MaRDI QIDQ2636949
Publication date: 18 February 2014
Published in: Numerical Algorithms (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11075-012-9680-9
two-point boundary value problemhomotopy analysis methodnumerical resultoptimal valueconvergence-control parameter
Nonlinear boundary value problems for ordinary differential equations (34B15) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical solution of boundary value problems involving ordinary differential equations (65L10)
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- Solution of the Thomas-Fermi equation with a convergent approach
- Some issues on HPM and HAM methods: a convergence scheme
- Homotopy solution for nonlinear differential equations in wave propagation problems
- Control of error in the homotopy analysis of semi-linear elliptic boundary value problems
- An efficient analytical approach for solving fourth order boundary value problems
- Application of homotopy analysis method to fractional KdV-Burgers-Kuramoto equation
- Applying homotopy analysis method for solving differential-difference equation
- Notes on the homotopy analysis method: some definitions and theorems
- The homotopy analysis method for multiple solutions of nonlinear boundary value problems
- On the homotopy solution for Poiseuille flow of a fourth grade fluid
- On the relationship between the homotopy analysis method and Euler transform
- An optimal homotopy-analysis approach for strongly nonlinear differential equations
- A one-step optimal homotopy analysis method for nonlinear differential equations
- A new spectral-homotopy analysis method for solving a nonlinear second order BVP
- Soliton solutions for the fifth-order KdV equation with the homotopy analysis method
- Two-parameter homotopy method for nonlinear equations
- Approximate solutions to a parameterized sixth order boundary value problem
- An optimal homotopy asymptotic method applied to the steady flow of a fourth-grade fluid past a porous plate
- Numerically solving nonlinear problems by the homotopy analysis method
- A kind of approximation solution technique which does not depend upon small parameters. II: An application in fluid mechanics
- A nonlinear shooting method for two-point boundary value problems
- Newton-homotopy analysis method for nonlinear equations
- The application of homotopy analysis method to solve a generalized Hirota-Satsuma coupled KdV equation
- Homotopy solution for the channel flow of a third-grade fluid
- Homotopy analysis method for quadratic Riccati differential equation
- Homotopy Analysis Method in Nonlinear Differential Equations
- An analytic solution of projectile motion with the quadratic resistance law using the homotopy analysis method
- Finite Difference Collocation Methods for Nonlinear Two Point Boundary Value Problems
- A Finite Element Method for a Boundary Value Problem of Mixed Type
- Beyond Perturbation
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