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Numerical solution of the system of nonlinear Fredholm integro-differential equations by the operational tau method with an error estimation. (English) Zbl 1178.65146
Summary: The operational approach to the Tau method is used for the numerical solution of a nonlinear Fredholm integro-differential equations and nonlinear ordinery differential equaions with initial or boundary conditions without linearizing. An efficient error estimation of the approximate solution is also introduced. Some examples are given to clarify the efficiency and high accuracy of the method.
MSC:
65R20Integral equations (numerical methods)
45G15Systems of nonlinear integral equations
45B05Fredholm integral equations
65L05Initial value problems for ODE (numerical methods)
65L10Boundary value problems for ODE (numerical methods)
34B15Nonlinear boundary value problems for ODE
45J05Integro-ordinary differential equations
34A34Nonlinear ODE and systems, general