A Numerical Iterative Scheme for Solving Nonlinear Boundary Value Problems of Fractional Order 0 < alpha < 1

Authors

  • Muhammad Adnan Anwar Department of Mathematics, University of Engineering and Technology, Lahore, Pakistan.
  • Shafiq Ur Rehman Department of Mathematics, University of Engineering and Technology, Lahore, Pakistan.
  • Fayyaz Ahmad Department de F´ısica i Enginyeria Nuclear, Universitat Politecnica de Catalunya, Eduard Maristany 10, Barcelona 08019, Spain. ` Dipartimento di Scienza e Alta Tecnologia, Universita dell’Insubria, Via Valleggio 11, Como 22100, Italy.
  • Muhammad Irfan Qadir Department of Mathematics, University of Engineering and Technology, Lahore, Pakistan.
  • Muhammad Irfan Qadir Department of Mathematics, University of Engineering and Technology, Lahore, Pakistan.

Abstract

Accurate numerical approximations for solving non linear fractional order boundary value problems are presented in this paper. To accomplish this goal, first- and second-order derivatives involved in the developed scheme are approximated by central finite difference scheme of order four. Whereas, integrals in this work are approximated by the composite Simpson’s rule in the Caputo’s definition. The performance of the proposed iterative scheme is demonstrated by solving nonlinear fractional order boundary value problems of order 0 < α < 1.

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Published

2025-05-17

Issue

Vol. 51 No. 1 (2019)

Section

Articles

How to Cite

A Numerical Iterative Scheme for Solving Nonlinear Boundary Value Problems of Fractional Order 0 < alpha < 1. (2025). Punjab University Journal of Mathematics, 51(1), 115-126. https://pujm.pu.edu.pk/index.php/pujm/article/view/407