Numerical simulation of singularly perturbed differential equation with small shift

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 bound...

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Bibliographic Details
Main Authors: Arora, Geeta, Kaur, Mandeep
Format: Conference Proceeding
Language:English
Subjects:
Basis functions
Boundary value problems
Collocation methods
Computer simulation
Differential equations
Finite element method
Mesh generation
Parameters
Partitions
Test procedures
Time lag
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Summary: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.
ISSN:0094-243X
1551-7616
DOI:10.1063/1.4990346