Said-Ball polynomials with collocation method are used to numerically solve a system of linear ordinary differential equations. The matrix forms of Said-Ball polynomials of the solution, derivatives, and conditions are done. The linear system of ordinary differential equations with appropriate conditions is reduced to the linear algebraic equations system with unknown Said-Ball coefficients. Solving the resulting system determines the coefficients of Said-Ball polynomials. By Substituting these values in the polynomial, we get the problem's exact and approximate solutions. The obtaining numerical results show the proposed method's accuracy and reliability when compared with the other works and exact solutions
Al-subaai, Mubark Dr. and kherd, Ahmes Saleh
"SAID-BALL POLYNOMIALS FOR SOLVING LINEAR SYSTEMS OF ORDINARY DIFFERENTIAL EQUATIONS,"
Emirates Journal for Engineering Research: Vol. 28:
2, Article 1.
Available at: https://scholarworks.uaeu.ac.ae/ejer/vol28/iss2/1