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Uwaheren, Ohigweren Airenoni
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Agriculture, Biological Sciences & Forestry Biochemistry, Genetics & Molecular Biology Chemistry Materials Science & Nanotechnology Physics

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Efficiency of new Canonical polynomials in Solving nonlinear Fractional Integro-Differential equations Owolanke , Olakiitan Ayodele; Uwaheren, Ohigweren Airenoni; Ogunbamike, Oluwatoyi Kehinde
Journal of Natural Sciences and Mathematics Research Vol. 10 No. 2 (2024): December
Publisher : Faculty of Science and Technology, Universitas Islam Negeri Walisongo Semarang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.21580/jnsmr.v10i2.20086

Abstract

This paper is aimed to solve nonlinear fractional integro-differential equations, specifically of the Volterra-types, utilizing newly constructed versatile canonical polynomials. The technique involves the use of the Lanczos method. The popular numerical method known as the collocation method is presented to evaluate the evolving equations and subsequently to determine the values of the embedded unknown coefficients. The equations exhibit both derivatives and integrals. The resulting approximate solutions are compared with the given exact solutions. Numerical experiments are conducted to showcase the efficiency and accuracy of the technique, which is achieved by estimating the errors in the approximate solutions in order to significantly establish the convergence of the method. The mathematical tool utilized to obtain the required results is Maple 18 software package.
Numerical computational approach for 6th order boundary value problems Adebisi, Folasade Ajimot; Ishola, Christie Yemisi; Uwaheren, Ohigweren Airenoni; Okunola, Kamilu Adedokun; Raji, Musiliu Tayo; Oseni, Wasiu
Journal of Natural Sciences and Mathematics Research Vol. 9 No. 1 (2023): June
Publisher : Faculty of Science and Technology, Universitas Islam Negeri Walisongo Semarang

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Abstract

This study introduces numerical computational methods that employ fourth-kind Chebyshev polynomials as basis functions to solve sixth-order boundary value problems. The approach transforms the BVPs into a system of linear algebraic equations, expressed as unknown Chebyshev coefficients, which are subsequently solved through matrix inversion. Numerical experiments were conducted to validate the accuracy and efficiency of the technique, demonstrating its simplicity and superiority over existing solutions. The graphical representation of the method's solution is also presented.
Co-Authors ADEBISI, Folasade Ajimot Ishola, Christie Yemisi Ogunbamike, Oluwatoyi Kehinde Okunola, Kamilu Adedokun Oseni, Wasiu Owolanke , Olakiitan Ayodele Raji, Musiliu Tayo