Numerical Solutions of Fractional Integrodifferential Equations of Bratu Type by Using CAS Wavelets

الملخص EN

A numerical method based on the CAS wavelets is presented for the fractional integrodifferential equations of Bratu type.

The CAS wavelets operational matrix of fractional order integration is derived.

A truncated CAS wavelets series together with this operational matrix is utilized to reduce the fractional integrodifferential equations to a system of algebraic equations.

The solution of this system gives the approximation solution for the truncated limited 2k(2M+1).

The convergence and error estimation of CAS wavelets are also given.

Two examples are included to demonstrate the validity and applicability of the approach.