Product integration for weakly singular integral equations
نویسندگان
چکیده
منابع مشابه
Convergence analysis of product integration method for nonlinear weakly singular Volterra-Fredholm integral equations
In this paper, we studied the numerical solution of nonlinear weakly singular Volterra-Fredholm integral equations by using the product integration method. Also, we shall study the convergence behavior of a fully discrete version of a product integration method for numerical solution of the nonlinear Volterra-Fredholm integral equations. The reliability and efficiency of the proposed scheme are...
متن کاملconvergence analysis of product integration method for nonlinear weakly singular volterra-fredholm integral equations
in this paper, we studied the numerical solution of nonlinear weakly singular volterra-fredholm integral equations by using the product integration method. also, we shall study the convergence behavior of a fully discrete version of a product integration method for numerical solution of the nonlinear volterra-fredholm integral equations. the reliability and efficiency of the proposed scheme are...
متن کاملProduct integration for Volterra integral equations of the second kind with weakly singular kernels
We introduce a new numerical approach for solving Volterra integral equations of the second kind when the kernel contains a mild singularity. We give a convergence result. We also present numerical examples which show the performance and efficiency of our method.
متن کاملConvergence Analysis of Product Integration Method for Nonlinear Weakly Singular Volterra-fredholm Integral Equations
In this paper, we studied the numerical solution of nonlinear weakly singular Volterra-Fredholm integral equations by using the product integration method. Also, we shall study the convergence behavior of a fully discrete version of a product integration method for numerical solution of the nonlinear Volterra-Fredholm integral equations. The reliability and efficiency of the proposed scheme are...
متن کاملConvergence of product integration method applied for numerical solution of linear weakly singular Volterra systems
We develop and apply the product integration method to a large class of linear weakly singular Volterra systems. We show that under certain sufficient conditions this method converges. Numerical implementation of the method is illustrated by a benchmark problem originated from heat conduction.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Mathematics of Computation
سال: 1981
ISSN: 0025-5718
DOI: 10.1090/s0025-5718-1981-0595053-0