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Application of CAS wavelet to construct quadrature rules for numerical ‎integration‎‎

عنوان مقاله: Application of CAS wavelet to construct quadrature rules for numerical ‎integration‎‎
شناسه ملی مقاله: JR_IJIM-7-1_010
منتشر شده در در سال 1394
مشخصات نویسندگان مقاله:

S. Rezabeyk - Department of Mathematics‎, ‎Karaj Branch‎, ‎Islamic Azad University‎, ‎Karaj‎, ‎Iran‎.‎
KH. Maleknejad - Department of Mathematics‎, ‎Karaj Branch‎, ‎Islamic Azad University‎, ‎Karaj‎, ‎Iran‎.‎

خلاصه مقاله:
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.‎‎‎

کلمات کلیدی:
CAS Wavelets, Quadrature rules, Hybrid functions, Double and triple ‎integrals.‎

صفحه اختصاصی مقاله و دریافت فایل کامل: https://civilica.com/doc/1887385/