Numerical solution of nonlinear fractional pantograph differential equations with boundary conditions using Jacobi polynomials

Subject Areas : Intelligent Multimedia Processing and Communication Systems (IMPCS)

Somayeh  Nemati ¹ (University of Mazandaran)
Faezeh  Bakouei ² (Department of Applied Mathematics, Faculty of Mathematical Sciences,, University of Mazandaran Babolsar Iran)

Received: 2022-03-14 Accepted : 2022-10-12 Published : 2021-03-21

Keywords: Volterra-Fredholm integral equation, Jacobi polynomials, Boundary conditions, Fractional pantograph differential equation,

Abstract :

In this research, we have numerically solved a set of nonlinear fractional pantograph differential equations with boundary conditions using Jacobi polynomials. The present method turns the problem into a system of nonlinear algebraic equations, which simplifies the problem. It is suggested to use Jacobi wavelets to solve such problems, because in problems where the solution is not smooth enough, using wavelets by keeping the polynomial degree constant and increasing the number of wavelets will lead to an improvement in the approximation.

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