Adaptation of homotopy-perturbation method for numeric-analytic solution of system of ODEs
From MaRDI portal
Publication:552580
DOI10.1016/j.physleta.2007.07.067zbMath1217.81054OpenAlexW2163150344MaRDI QIDQ552580
M. S. H. Chowdhury, Ishak Hashim
Publication date: 26 July 2011
Published in: Physics Letters. A (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.physleta.2007.07.067
Lua error in Module:PublicationMSCList at line 37: attempt to index local 'msc_result' (a nil value).
Related Items (19)
Approximate solutions of delay differential equations with constant and variable coefficients by the enhanced multistage homotopy perturbation method ⋮ Control, stability, and qualitative theory of dynamical systems 2014 ⋮ Extended homotopy analysis method for multi-degree-of-freedom non-autonomous nonlinear dynamical systems and its application ⋮ The multistage homotopy perturbation method for solving chaotic and hyperchaotic Lü system ⋮ On the solution of strong nonlinear oscillators by applying a rational elliptic balance method ⋮ Kashuri Fundo Decomposition Method for Solving Michaelis-Menten Nonlinear Biochemical Reaction Model ⋮ Application of semi‐analytical methods for solving the Rosenau‐Hyman equation arising in the pattern formation in liquid drops ⋮ Approximate solutions for Fornberg‐Whitham type equations ⋮ Application of multistage homotopy perturbation method to the chaotic Genesio system ⋮ Enhanced multistage homotopy perturbation method: approximate solutions of nonlinear dynamic systems ⋮ Study of a third grade non-Newtonian fluid flow between two parallel plates using the multi-step differential transform method ⋮ On multistage homotopy-perturbation method applied to nonlinear biochemical reaction model ⋮ Application of semi-analytic methods for the Fitzhugh-Nagumo equation, which models the transmission of nerve impulses ⋮ Periodic solutions of multi-degree-of-freedom strongly nonlinear coupled van der Pol oscillators by homotopy analysis method ⋮ Analytical solutions to heat transfer equations by homotopy-perturbation method revisited ⋮ He's homotopy perturbation method for solving Korteweg‐de Vries Burgers equation with initial condition ⋮ Solution of the differential algebraic equations via homotopy perturbation method and their engineering applications ⋮ Application of adapted homotopy perturbation method for approximate solution of Henon-Heiles system ⋮ Application of multistage homotopy-perturbation method for the solutions of the Chen system
Cites Work
- Unnamed Item
- Solutions of a class of singular second-order IVPs by homotopy-perturbation method
- Application of homotopy-perturbation method to nonlinear population dynamics models
- Application of homotopy-perturbation and variational iteration methods to nonlinear heat transfer and porous media equations
- Convergence and accuracy of Adomian's decomposition method for the solution of Lorenz equations
- A coupling method of a homotopy technique and a perturbation technique for nonlinear problems
- Comparing numerical methods for the solutions of systems of ordinary differential equations.
- Homotopy perturbation method for bifurcation of nonlinear problems
- Approximate analytical solution for seepage flow with fractional derivatives in porous media
- An adaptation of Adomian decomposition for numeric-analytic integration of strongly nonlinear and chaotic oscillators
- An efficient algorithm for solving fifth-order boundary value problems
- Application of homotopy perturbation method to nonlinear wave equations
- Accuracy of the Adomian decomposition method applied to the Lorenz system
- An Accurate Solution to the Multispecies Lotka–Volterra Equations
- SOME ASYMPTOTIC METHODS FOR STRONGLY NONLINEAR EQUATIONS
This page was built for publication: Adaptation of homotopy-perturbation method for numeric-analytic solution of system of ODEs