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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.

MSC:

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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