Finite Element Orthogonal Collocation Approach for Time Fractional Telegraph Equation with Mamadu-Njoseh Polynomials

Finite element method (FEM) is an efficient numerical tool for the solution of partial differential equations (PDEs). It one most general methods when compared to other techniques. PDEs posed in a variational form over given space, say Hilbert are better numerically handled with FEM. The FEM algorithm used various applications which includes fluid flow, heat transfer, acoustics, structural mechanics and dynamics, electric magnetic field, etc. Thus, this paper, Element Orthogonal Collocation Approach (FEOCA) established approximate Time Fractional Telegraph Equation (TFTE) Mamadu-Njoseh polynomials as grid points corresponding new basis functions constructed finite space. FEOCA elegant mixture Method (OCM). Two examples experimented on verify accuracy rate convergence theoretical results, literature.