Asymptotic numerical method for singularly perturbed third order ordinary differential equations with a discontinuous source term. (English) Zbl 1164.65026

A class of singularly perturbed two point boundary value problems (BVP) of reaction-diffusion type for third order ordinary differential equations (ODE) with a small positive parameter multiplying the highest derivative and a discontinuous source term is considered. The BVP is reduced to a weakly coupled system consisting of one first order ODE with a suitable initial condition and one second order singularly perturbed ODE subject to boundary conditions. In order to solve this system, a computational method is suggested. Examples are provided to illustrate the method.


65L10 Numerical solution of boundary value problems involving ordinary differential equations
34B15 Nonlinear boundary value problems for ordinary differential equations
34E15 Singular perturbations for ordinary differential equations
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