A SUBDIVISION COLLOCATION METHOD FOR SOLVING TWO POINT BOUNDARY VALUE PROBLEMS OF ORDER THREE

Ghulam Mustafa; Syeda Tehmina Ejaz

doi:10.11948/2017059

2017 Volume 7 Issue 3

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Ghulam Mustafa, Syeda Tehmina Ejaz. A SUBDIVISION COLLOCATION METHOD FOR SOLVING TWO POINT BOUNDARY VALUE PROBLEMS OF ORDER THREE[J]. Journal of Applied Analysis & Computation, 2017, 7(3): 942-956. doi: 10.11948/2017059

Citation:

Ghulam Mustafa, Syeda Tehmina Ejaz. A SUBDIVISION COLLOCATION METHOD FOR SOLVING TWO POINT BOUNDARY VALUE PROBLEMS OF ORDER THREE[J]. Journal of Applied Analysis & Computation, 2017, 7(3): 942-956. doi: 10.11948/2017059

A SUBDIVISION COLLOCATION METHOD FOR SOLVING TWO POINT BOUNDARY VALUE PROBLEMS OF ORDER THREE

Department of Mathematics, The Islamia University of Bahawalpur, PostalCode 63100, Bahawalpur, Pakistan

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Abstract

Abstract

In this paper, we propose a method for the numerical solution of self adjoint singularly perturbed third order boundary value problems in which the highest order derivative is multiplied by a small parameter ε. In this method, first we introduce the derivatives of two scale relations satisfied by the subdivision schemes. After that we use these derivatives to construct the subdivision collocation method for the numerical solution of singularly perturbed boundary value problems. Convergence of the subdivision collocation method is also discussed. Numerical examples are presented to illustrate the proposed method.
- Singularly perturbed /
- boundary value problem /
- ordinary differential equation /
- subdivision schemes /
- collocation method
MSC: 65L11;65L10;65L99;65D07;65M70

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References

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