Approximate Solutions of Nonlinear Integral Equations Using the Cubic B-Spline Scaling Method

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Approximate Solutions of Nonlinear Integral Equations Using the Cubic B-Spline Scaling Method
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Published: Apr 28, 2025
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Keywords:
Fixed Point Method, Non-Linear Fredholm Integral Equation, Cubic B-Spline Wavelets, Scaling Functions, Darbo Condition,
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DOI:10.32441/kjps.09.02.p5
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DOI: 10.32441/kjps.09.02.p5
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DOI:10.32441/kjps.09.02.p5

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Mohammed Jabbar Adaay Al-Sharea
Department of Mathematics, College of Science, University of Azad, Iran.
Mohammedalshara1975@gmail.com

DOI:https://doi.org/10.32441/kjps.09.02.p5

Abstract

This paper examines a category of general nonlinear integral equations. These equations also include many special cases, such as functional equations and nonlinear integral equations of the Volterra type. In order to approximate the solutions to numerous physical, chemical, and biological issues, we implemented an approach that incorporates the fixed-point method and semi-vertical cubic scaling functions. We also obtain a numerical solution to the integral equation. Numerical examples illustrate the accuracy and validity of this method.

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How to Cite
Al-Sharea, M. J. A. (2025). Approximate Solutions of Nonlinear Integral Equations Using the Cubic B-Spline Scaling Method. Al-Kitab Journal for Pure Sciences, 9(02), 62–83. https://doi.org/10.32441/kjps.09.02.p5
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Vol. 9 No. 02 (2025): Vol. 9 No. 02 (2025): Al-Kitab Journal for Pure Sciences
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