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 ...

we prove a strong convergence theorem for the modified noor iterations‎ ‎in the framework of cat(0) spaces‎. ‎our results extend and improve the corresponding results of‎ ‎x‎. ‎qin‎, ‎y‎. ‎su and m‎. ‎shang‎, ‎t‎. ‎h‎. ‎kim and h‎. ‎k‎. ‎xu and s‎. ‎saejung‎ ‎and some others‎.

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 ...

in this paper, we study projected non-stationary simultaneous it-erative reconstruction techniques (p-sirt). based on algorithmic op-erators, convergence result are adjusted with opial’s theorem. the advantages of p-sirt are demonstrated on examples taken from to-mographic imaging.

in this paper, the convergence of zakharov-kuznetsov (zk) equation by homo- topy analysis method (ham) is investigated. a theorem is proved to guarantee the conver- gence of ham and to nd the series solution of this equation via a reliable algorithm.

We prove a strong convergence theorem for the modified Noor iterations‎ ‎in the framework of CAT(0) spaces‎. ‎Our results extend and improve the corresponding results of‎ ‎X‎. ‎Qin‎, ‎Y‎. ‎Su and M‎. ‎Shang‎, ‎T‎. ‎H‎. ‎Kim and H‎. ‎K‎. ‎Xu and S‎. ‎Saejung‎ ‎and some others‎.