Abstract

In the present paper, perturbed singular differential equations of second order with small shift are treated for their numerical simulation. These equations arise in the mathematical models for the study of neuronal behavior and their basic activities. Collocation method is used to solve these boundary value problems using modified B-spline basis functions. To partition the domain the piecewise uniform mesh-shiskhin mesh is generated that generate more partitions near the boundary region. The study targets on the impact of small parameters on the solution. To confirm the coherence of the method test problems are presented and conduct of solution of the problem with the time lag parameter is shown.

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