Light-opals interaction modeling by direct numerical solution of Maxwell’s equations

Numerical solution of functional integral equations by using B-splines

This paper describes an approximating solution, based on Lagrange interpolation and spline functions, to treat functional integral equations of Fredholm type and Volterra type. This method can be extended to functional differential and integro-differential equations. For showing efficiency of the method we give some numerical examples.

Numerical solution of two-dimensional integral equations of the first kind by multi-step methods

‎‎‎In this paper‎, ‎we develop multi-step methods to solve a class of two-dimensional nonlinear Volterra integral equations (2D-NVIEs) of the first kind‎. ‎Here‎, ‎we convert a 2D-NVIE of the first kind to a one-dimensional linear VIE of the first kind and then we solve the resulted equation numerically by multi-step methods‎. ‎We also verify convergence and error analysis of the method‎. ‎At t...

Numerical Solution of Differential Equations

numerical solution of functional integral equations by using b-splines

this paper describes an approximating solution, based on lagrange interpolation and spline functions, to treat functional integral equations of fredholm type and volterra type. this method can be extended to functional dierential and integro-dierential equations. for showing eciency of the method we give some numerical examples.

Simulations of blue light-emitting diodes by numerical solution of the van Roosbroeck’s equations

In our work the phenomena determining the performance of semiconductor devices are examined. We use computer simulations based on semi-classical drift-diffusion model. Our aim is to numerically solve a system of three nonlinear elliptic differential equations. For computations, we use a coupled Newton method, with a modification taking advantage of a simple iteration.