1403/01/10
حسین جعفری

حسین جعفری

مرتبه علمی: استاد
ارکید:
تحصیلات: دکترای تخصصی
اسکاپوس:
دانشکده: دانشکده علوم ریاضی
نشانی:
تلفن: 2466

مشخصات پژوهش

عنوان
On integral equations with Weakly Singular kernel by using Taylor series and Legendre polynomials
نوع پژوهش
JournalPaper
کلیدواژه‌ها
weakly singular; Fredholm integral equations; Taylor series; Galerkin method; Legendre functions
سال
2015
مجله Open Physics
شناسه DOI
پژوهشگران Hossein Jafari ، Esmail Babolian ، Danial Hamedzadeh ، Asghar Arzhang Hajikandi ، Dumitru Baleanu

چکیده

This paper is concerned with the numerical solution for a class of weakly singular Fredholm integral equations of the second kind. The Taylor series of the unknown function, is used to remove the singularity and the truncated Taylor series to second order of k(x, y) about the point (x0, y0) is used. The integrals that appear in this method are computed exactly and some of these integrals are computed with the Cauchy principal value without using numerical quadratures. The solution in the Legendre polynomial form generates a system of linear algebraic equations, this system is solved numerically. Through numerical examples, performance of the present meth