a new block by block method for solving two-dimensional linear and nonlinear volterra integral equations of the first and second kinds
نویسندگان
چکیده
in this paper, we propose a new method for the numerical solution of two-dimensional linear and nonlinear volterra integral equations of the first and second kinds, which avoids from using starting values. an existence and uniqueness theorem is proved and convergence isverified by using an appropriate variety of the gronwall inequality. application of the method is demonstrated for solving the useful telegraph equation.
منابع مشابه
A new block by block method for solving two-dimensional linear and nonlinear Volterra integral equations of the first and second kinds
In this paper, we propose a new method for the numerical solution of two-dimensional linear and nonlinear Volterra integral equations of the first and second kinds, which avoids from using starting values. An existence and uniqueness theorem is proved and convergence isverified by using an appropriate variety of the Gronwall inequality. Application of the method is demonstrated for solving the ...
متن کاملa new block by block method for solving two-dimensional linear and nonlinear volterra integral equations of the first and second kinds
in this paper, we propose a new method for the numerical solution of two-dimensional linear and nonlinear volterra integral equations of the first and second kinds, which avoids from using starting values. an existence and uniqueness theorem is proved and convergence isverified by using an appropriate variety of the gronwall inequality. application of the method is demonstrated for solving the ...
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عنوان ژورنال:
bulletin of the iranian mathematical societyناشر: iranian mathematical society (ims)
ISSN 1017-060X
دوره 39
شماره 4 2013
میزبانی شده توسط پلتفرم ابری doprax.com
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