Volume 11 (2026)
Volume 10 (2025)
Volume 9 (2024)
Volume 8 (2023)
Volume 7 (2022)
Volume 6 (2021)
Volume 5 (2020)
Volume 4 (2019)
Volume 3 (2018)
Volume 2 (2017)
Volume 1 (2016)
Keywords = Collocation method
Number of Articles: 2
Solving Variable-Order Fractional Integro-Differential Equations Using the Two-Dimensional Fractional-Order Fibonacci Wavelets Operational Matrix
Articles in Press, Accepted Manuscript, Available Online from 21 April 2026
Abstract
This paper presents a novel numerical method for solving variable-order fractional integro-differential equations using two-dimensional fractional-order Fibonacci wavelets. The proposed approach employs fractional-order Fibonacci wavelets together with their associated integral and derivative operational ... Read More)
Computational Performance Optimization in Solving Singular Boundary Value Problems: A Comparative Study of Finite Difference and Collocation Methods
Volume 11, Issue 2 , May 2026, , Pages 201-219
Abstract
This paper presents a systematic comparative study of two widely used numerical solvers --- HOFiD_bvp (high-order finite difference scheme) and bvp4c (collocation-based) --- for solving singular second-order ordinary differential equations (ODEs) with first-kind (regular) boundary singularities. Four ... Read More)