Application of CAS wavelet to construct quadrature rules for numerical ‎integration‎‎

Document Type : Research Paper


Department of Mathematics‎, ‎Karaj Branch‎, ‎Islamic Azad University‎, ‎Karaj‎, ‎Iran‎.‎


In this paper‎, ‎based on CAS wavelets we present quadrature rules for numerical solution‎ ‎of double and triple integrals with variable limits of integration‎. ‎To construct new method‎, ‎first‎, ‎we approximate the unknown function by CAS wavelets‎. ‎Then by using suitable collocation points‎, ‎we obtain the CAS wavelet coefficients that these coefficients are applied in approximating the unknown function‎. ‎The major advantage of new approach is that this method can approximate the value of some improper integrals‎. ‎To illustrate the efficiency and the accuracy of the method‎, ‎some numerical examples are given.‎‎‎