A Computational Approach for Solution of Singular Boundary Value Problem with Applications in Human Physiology

National Academy Science Letters - Tập 35 - Trang 189-193 - 2012
Yogesh Gupta1, Manoj Kumar1
1Department of Mathematics , Motilal Nehru National Institute of Technology , Allahabad, India

Tóm tắt

In this paper, a numerical algorithm is developed for the approximation of the solution of nonlinear two point second order singular boundary value problems arising in human physiology. Cubic Extended B-spline (EB-spline) is employed after modification of the problem at the point of singularity by L’ hospital rule. Resulting nonlinear system of equations is solved to get the solution. This is shown that the approximate solutions obtained by the numerical algorithm developed using present Cubic EB-spline are better than those produced by other numerical methods using ordinary Cubic B-spline and finite differences. The EB-spline method is advantageous over B-spline method due to flexibility of choice of free parameter $$ \lambda $$ . Results exhibit the superiority of the present method for suitable choices of free parameter. The algorithm is tested on two problems to demonstrate the practical usefulness of the approach.

Tài liệu tham khảo

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