the determination of an unknown boundary condition, in a nonlinaer inverse diffusion problem is considered. for solving these ill-posed inverse problems, galerkin method based on sinc basis functions for space and time will be used. to solve the system of linear equation, a noise is imposed and tikhonove regularization is applied. by using a sensor located at a point in the domain of $x$, say $...

In this article, we develop the Sinc-Galerkin method based on double exponential transformation for solving a class of weakly singular nonlinear two-point boundary value problems with nonhomogeneous boundary conditions. Also several examples are solved to show the accuracy efficiency of the presented method. We compare the obtained numerical results with results of the other existing methods in...

In this paper, it is presented that an approximate solution of a class non-linear differential equations with conformable derivative under boundary conditions by using sinc-Galerkin method not used to approximately solve the considered equation in literature. method, function expressed as finite series terms composite translated sinc functions and unknown coefficients. The problem reduced into ...

In this paper, the application of a Sinc-Collocation approach based on first derivative interpolation in numerical oceanography is presented. The specific model of interest involves a hydrodynamic model of wind-driven currents in coastal regions and semi-enclosed seas with depth-dependent vertical eddy viscosity. The model is formulated in two different but equivalent systems; a complex-velocit...

A fully Sinc-Galerkin method for solving advection-di usion equations subject to arbitrary radiation boundary conditions is presented. This procedure gives rise to a discretization which has it's most natural representation in the form of a Sylvester system where the coe cient matrix for the temporal discretization is full. The word \full" often implies a computationally more complex method com...