Numerical Simulation of Coupled Fractional Differential-Integral Equations Utilizing the Second Kind Chebyshev Wavelets

In order to solve coupled fractional differential-integral equations more effectively and deal with the problem that huge algebraic lead considerable computational complexity large data storage requirements in calculation process, this paper approximates function of unknown solution based on Chebyshev wavelet second kind then combines collocation method numerical nonlinear Fredholm integral-differential equations. By using proposed method, original can be reduced a system linear equations, which easily solved by some mathematical techniques. addition, convergence analysis is studied. Several test problems are presented, absolute error values under different orders given, proves superiority effectiveness method. It provides support for improving precision reliability system.