Optimal Control Prob lem for Nonl inear Stochast ic Difference Second Kind Volterra Equations

Propa Ga T Io N of T E Wav Es in Nonli Nea R Wav Eg Ui De

Propagation in l inear planar wa vegui des is a wel l-known pro blem , whereas pro pagati on in nonl inear waveguides wa s considered onl y in parti cular cases. Tha t is the caseof the nonl inear waveguide wi th a l inear Ùlm on a nonl inear substra te [1], then the l inear Ùlm surro unded by the nonl inear substra te and cover [2{ 7], the nonl inear Ùlm surro unded by l inear isotro pi c m ed...

Evaluating the solution for second kind nonlinear Volterra Fredholm integral equations using hybrid method

In this work, we present a computational method for solving second kindnonlinear Fredholm Volterra integral equations which is based on the use ofHaar wavelets. These functions together with the collocation method are thenutilized to reduce the Fredholm Volterra integral equations to the solution ofalgebraic equations. Finally, we also give some numerical examples that showsvalidity and applica...

Evaluating the solution for second kind nonlinear Volterra Fredholm integral equations using hybrid method

In this work, we present a computational method for solving second kindnonlinear Fredholm Volterra integral equations which is based on the use ofHaar wavelets. These functions together with the collocation method are thenutilized to reduce the Fredholm Volterra integral equations to the solution ofalgebraic equations. Finally, we also give some numerical examples that showsvalidity and applica...

Numerical method for non-linear fuzzy Volterra integral equations of the second kind

The solving linear one-dimemsional Volterra integral equations of the second kind in reproducing kernel space

In this paper, to solve a linear one-dimensional Volterra  integral equation of the second kind. For this purpose using the equation form, we have defined a linear transformation and by using it's conjugate and reproducing kernel functions, we obtain a basis for the functions space.Then we obtain the solution of  integral equation in terms of the basis functions. The examples presented in this ...