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

Subject Areas : Multimedia Processing, Communications Systems, Intelligent Systems

Somayeh Nemati ¹ , Faezeh Bakouei ²

1 - University of Mazandaran
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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