Approximate solution for system of differential-difference equations by means of the homotopy analysis method
DOI10.1016/J.AMC.2010.10.031zbMath1221.65159OpenAlexW1979304180MaRDI QIDQ618112
Publication date: 14 January 2011
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2010.10.031
convergenceseries solutiondifferential-difference equationshomotopy analysis method (HAM)relativistic Toda lattice system
Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for functional-differential equations (65L03)
Related Items (1)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Quasi-periodic solutions for modified Toda lattice equation
- Symbolic computation of hyperbolic tangent solutions for nonlinear differential-difference equations
- Analytical and numerical aspects of certain nonlinear evolution equations. III. Numerical, Korteweg-de Vries equation
- An explicit, totally analytic approximate solution for Blasius' viscous flow problems
- The application of homotopy analysis method to nonlinear equations arising in heat transfer
- New rational formal solutions for \((1 + 1)\)-dimensional Toda equation and another Toda equation
- Solving frontier problems of physics: the decomposition method
- A kind of approximation solution technique which does not depend upon small parameters. II: An application in fluid mechanics
- Compactons dispersive structures for variants of the \(K(n,n)\) and the KP equations
- A new Jacobi elliptic function rational expansion method and its application to (1 + 1)-dimensional dispersive long wave equation
- An approximate solution technique not depending on small parameters: A special example
- Multi-component Volterra and Toda type integrable equations
- The application of homotopy analysis method to solve a generalized Hirota-Satsuma coupled KdV equation
- An extended Jacobi elliptic function rational expansion method and its application to \((2+1)\)-dimensional dispersive long wave equation
- Extended tanh-function method and its applications to nonlinear equations
- Bäcklund Transformation for the Exponential Lattice
- New similarity reductions of the Boussinesq equation
- Painleve analysis and Backlund transformation in the Kuramoto-Sivashinsky equation
- Construction scheme for discrete Miura transformations
- New explicit travelling wave solutions for two new integrable coupled nonlinear evolution equations
This page was built for publication: Approximate solution for system of differential-difference equations by means of the homotopy analysis method
