Computational Algorithm for MRLW equation using B-spline with BFRK scheme

In this paper, septic B-spline approach with linearization and without linearization technique with the help of Butcher's fifth-order Runge-Kutta scheme is implemented to obtain solitary wave solutions of the modified regularized long wave equation. The error norms L-2 and L-infinity and the three invariants I-1, I-2 and I-3 are computed on three tests to confirm about the efficiency and accuracy of the proposed methods. The stability analysis is performed using Von-Neumann technique on the linearized septic B-spline approach. The results of the present work are compared with the analytical and existing solutions.