The cubic B-spline interpolation method for numerical point solutions of conformable boundary value problems

Abstract

In this analysis, the cubic B-spline method is employed for constructing the approximate solutions of a class of fractional two-point boundary value problems. These fractional problems are expressed in terms of the conformable fractional derivative approach. More deeply, a class of conformable Lane-Emden model is considering and modifying with singularities. Many numerical applications are presented and discussed to exhibit the feasibility and efficiency of the procedure involved in both linear and non-linear cases. The numerical findings are quite similar to those of the exact solutions as well as require relatively less computational work. Latterly, remarks and future research work are provided.

Keywords

• Cubic B-Spline method
• Lane-Emden type model
• Boundary value problem
• Conformable derivative
• Conformable differential equation