Keywords: Singular perturbation; Coupled system; Discontinuous source term; Parameter-uniform convergence; Backward-Euler scheme; Shishkin mesh; Interior layers; Parabolic reaction-diffusion equations;
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Keywords: 35L65; 35R05Scalar hyperbolic conservation law; Measure-valued solution; Entropy weak solutions; Kinetic solution; Discontinuous flux; Discontinuous source term
An asymptotic finite element method for singularly perturbed third and fourth order ordinary differential equations with discontinuous source term
Keywords: Singularly perturbed problem; Discontinuous source term; Third order differential equation; Fourth order differential equation; Asymptotic expansion approximation; Finite element method; Self-adjoint; Boundary value problem; Fitted mesh;
A numerical method for singularly perturbed weakly coupled system of two second order ordinary differential equations with discontinuous source term
Keywords: 65L10; CRG1.7Weakly coupled system; Singular perturbation problem; Second order ordinary differential equation; Discontinuous source term; Finite difference scheme; Shishkin mesh
Asymptotic numerical method for boundary value problems for singularly perturbed fourth-order ordinary differential equations with a weak interior layer
Keywords: Fourth-order ordinary differential equation; Singularly perturbed problem; Discontinuous source term; Non-self-adjoint boundary value problem; Asymptotic expansion; Boundary layer; Interior layer; Finite difference scheme