New Cubic B-spline Approximation for Solving Non-linear Singular Boundary Value Problems Arising in Physiology

Authors

  • Muhammad Kashif Iqbal Department of Mathematics, National College of Business Administration and Economics, Lahore
  • Muhammad Abbas Department of Mathematics, University of Sargodha, Sargodha
  • Nauman Khalid Department of Mathematics, National College of Business Administration and Economics, Lahore

DOI:

https://doi.org/10.26713/cma.v9i3.802

Keywords:

Cubic B-spline basis functions, Cubic B-spline collocation method, Singular boundary value problems, Quasi-linearization technique

Abstract

In this article, a new cubic B-spline approximation method is presented for solving second order singular boundary value problems. The proposed numerical technique is based on cubic B-spline collocation method equipped with a new approximation for second order derivative. Several test problems arising in the field of Physiological sciences are considered. The approximate results are compared with the numerical techniques existing in literature. It is found that our new approximation performs superior to current methods due to its simplicity, straight forward interpolation and less computational cost.

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Published

25-09-2018
CITATION

How to Cite

Iqbal, M. K., Abbas, M., & Khalid, N. (2018). New Cubic B-spline Approximation for Solving Non-linear Singular Boundary Value Problems Arising in Physiology. Communications in Mathematics and Applications, 9(3), 377–392. https://doi.org/10.26713/cma.v9i3.802

Issue

Vol. 9 No. 3 (2018)

Section

Research Article

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