Asymptotic initial-value method for second-order singular perturbation problems of reaction-diffusion type with discontinuous source term

DOI10.1007/s10957-007-9167-3zbMath1153.65076OpenAlexW1988682723MaRDI QIDQ946312

B. E. Eshmatov

Publication date: 23 September 2008

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10957-007-9167-3

zbMATH Keywords

convergencesingular perturbationnumerical examplesboundary value problemsinitial value problemsboundary and interior layersdiscontinuous source termsfitted mesh methodinitial value methods

Mathematics Subject Classification ID

Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical solution of boundary value problems involving ordinary differential equations (65L10) 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 (5)

Application of spline to approximate the solution of singularly perturbed boundary-value problems ⋮ A brief survey on numerical methods for solving singularly perturbed problems ⋮ A review on singularly perturbed differential equations with turning points and interior layers ⋮ A class of finite difference schemes for singularly perturbed delay differential equations of second order ⋮ A recent development of computer methods for solving singularly perturbed boundary value problems

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