An Improved Symmetric Numerical Approach for Systems of Second-Order Two-Point BVPs

This study deals with the numerical solution of a class linear systems second-order boundary value problems (BVPs) using new symmetric cubic B-spline method (NCBM). is typical collocation powered by approximations for derivatives. The flexibility and high order precision functions allow them to approximate answers. These have symmetrical property. approximation plays an important role in producing more accurate results up fifth-order accuracy. To verify proposed method’s accuracy, it tested on three ordinary differential equations multiple step sizes. findings present are quite similar exact solutions available literature. We discovered that when size decreased, computational errors resulting better precision. In addition, details maximum investigated. Moreover, simple implementation straightforward computations main advantages offered method. yields improved results, even if does not require free parameters. Thus, can be concluded scheme reliable efficient.