چکیده مقاله
In this paper we propose a fast quasilinearization numerical scheme, coupled with collocation method, for solving nonlinear weakly singular Volterra integral equations The kernel of the eqaution satisfies some monotonicity conditions The mothod provides quadratic, uniform and monotone convergence of the quasilinearization method QLM for solving nonlinear problems The convergence of QLM and its rate are examined numerically, on some numerical test examples
کلیدواژهها
Volterra integral equations Collocation method Gauss-Kronrod quadrature Gauss Kronrod quadrature
نویسندگان
Esmaeil Najafi
Department of Mathematics, Faculty of Science, Urmia University, Urmia, Iran
شیوه ارجاع
Najafi, Esmaeil,1394,Quasilinearization Numerical Scheme for Solving a Class of Weakly Singular Volterra Integral Equations,1st National Conference on Soft Computing,Rasht
ارائهشده در
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