Numerical solution of nonlinear Volterra integro-differential equations of arbitrary order by CAS wavelets. (English) Zbl 1221.65140

Summary: A computational method for numerical solution of a nonlinear Volterra integro-differential equation of fractional (arbitrary) order which is based on CAS wavelets and BPFs is introduced. The CAS wavelet operational matrix of fractional integration is derived and used to transform the main equation to a system of algebraic equations. Some examples are included to demonstrate the validity and applicability of the technique.


65J20 Numerical solutions of ill-posed problems in abstract spaces; regularization
65R20 Numerical methods for integral equations
26A33 Fractional derivatives and integrals
45J05 Integro-ordinary differential equations
65T60 Numerical methods for wavelets
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