Asymptotic numerical methods for singularly perturbed fourth order ordinary differential equations of convection-diffusion type

DOI10.1016/S0096-3003(01)00257-0zbMath1030.65088MaRDI QIDQ1855904

Yanyan Li

Publication date: 28 January 2003

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

zbMATH Keywords

singular perturbationnumerical examplesboundary value problemserror boundfinite difference schemessystemnonlinear problemsfourth-order differential equations

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Error bounds for numerical methods for ordinary differential equations (65L70) Linear boundary value problems for ordinary differential equations (34B05) Singular perturbations for ordinary differential equations (34E15) Finite difference and finite volume methods for ordinary differential equations (65L12) Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50)

Related Items (15)

Asymptotic numerical method for boundary value problems for singularly perturbed fourth-order ordinary differential equations with a weak interior layer ⋮ A class of quasi-variable mesh methods based on off-step discretization for the solution of non-linear fourth order ordinary differential equations with Dirichlet and Neumann boundary conditions ⋮ An asymptotic numerical method for singularly perturbed third-order ordinary differential equations with a weak interior layer ⋮ Singularly perturbed robin type boundary value problems with discontinuous source term in geophysical fluid dynamics ⋮ A brief survey on numerical methods for solving singularly perturbed problems ⋮ Uniformly convergent scheme for fourth-order singularly perturbed convection-diffusion ODE ⋮ Asymptotic numerical method for third-order singularly perturbed convection diffusion delay differential equations ⋮ Computational methods for reaction--diffusion problems for fourth order ordinary differential equations with a small parameter at the highest derivative. ⋮ Spectral methods for some singularly perturbed third order ordinary differential equations ⋮ A recent survey on computational techniques for solving singularly perturbed boundary value problems ⋮ Fitted mesh method for singularly perturbed Robin type boundary value problem with discontinuous source term ⋮ Computational approach for fourth-order self-adjoint singularly perturbed boundary value problems via non-polynomial quintic spline ⋮ Parallel algebraic hybrid solvers for large 3D convection-diffusion problems ⋮ Computational methods for solving two-parameter singularly perturbed boundary value problems for second-order ordinary differential equations ⋮ AN OVERLAPPING SCHWARZ METHOD FOR SINGULARLY PERTURBED FOURTH-ORDER CONVECTION-DIFFUSION TYPE

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