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

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.