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Okunola, Kamilu Adedokun
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Agriculture, Biological Sciences & Forestry Biochemistry, Genetics & Molecular Biology Chemistry Materials Science & Nanotechnology Physics

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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 Oseni, Wasiu Raji, Musiliu Tayo Uwaheren, Ohigweren Airenoni