Solving a singular system of two nonlinear ODEs

DOI10.1016/j.amc.2007.08.054zbMath1152.65077OpenAlexW2011563786MaRDI QIDQ2483221

Xueqin Lv, Ming-Gen Cui

Publication date: 28 April 2008

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2007.08.054

zbMATH Keywords

exact solutionssingular systemsnonlinear ODEs

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22)

Related Items (5)

Combining the reproducing kernel method with a practical technique to solve the system of nonlinear singularly perturbed boundary value problems ⋮ Application of reproducing kernel method for solving nonlinear Fredholm-Volterra integrodifferential equations ⋮ Treatment for third-order nonlinear differential equations based on the Adomian decomposition method ⋮ Solutions of integral equations by reproducing kernel Hilbert space method ⋮ Solving system of second-order BVPs using a new algorithm based on reproducing kernel Hilbert space

Cites Work

• Unnamed Item
• Positive solutions of a second-order singular ordinary differential equation
• The exact solution for solving a class nonlinear operator equations in the reproducing kernel space.
• Solution of the system of ordinary differential equations by Adomian decomposition method.
• Positive solutions for singular boundary value problems of a coupled system of differential equations
• Critical points and positive solutions of singular elliptic boundary value problems
• Singular boundary value problems for superlinear second order ordinary and delay differential equations
• Existence of multiple solutions for quasilinear systems via fibering method
• A parameter robust numerical method for a system of two singularly perturbed convection-diffusion equations
• Global solutions of a singular initial value problem to second order nonlinear delay differential equations
• Positive solutions of singular ordinary differential equations with nonlinear boundary conditions
• New algorithm for a class of nonlinear integro-differential equations in the reproducing kernel space
• Existence of canard manifolds in a class of singularly perturbed systems
• A nonuniqueness criterion for a singular system of two ordinary differential equations
• Extending Geometric Singular Perturbation Theory to Nonhyperbolic Points---Fold and Canard Points in Two Dimensions
• Positive solutions for a class of singular semipositone boundary value problems

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