In this work, we consider a Sinc-collocation method for solving the fourth-order partial
integro-differential equation with the multi-term kernels. In the temporal direction, the time …

In this paper we propose new numerical methods for linear Fredholm integral equations of
the second kind with weakly singular kernels. The methods are developed by means of the …

The extended surfaces, known as fins, are of great importance in various industrial
applications in electric/electronic devices, heat exchangers, power plants, etc. Recently, it is …

Error estimates with explicit constants are given for approximations of functions, definite
integrals and indefinite integrals by means of the Sinc approximation. Although in the …

This paper presents a formally second‐order backward differentiation formula (BDF2) Sinc‐
collocation method for solving the Volterra integro‐differential equation with a weakly …

In this paper, the numerical solution of nonlinear Fredholm integral equations of the second
kind is considered by two methods. The methods are developed by means of the Sinc …

A quantum anharmonic oscillator is defined by the Hamiltonian H=− d 2 dx 2+ V (x), where
the potential is given by V (x)=∑ i= 1 mcix 2 i with cm> 0. Using the Sinc collocation method …

In this paper, at first we investigate the existence and uniqueness of solutions for a nonlinear
fractional integro-differential equation of pantograph type. Then using an algorithm based on …

Heat transfer can be enhanced in various equipment by utilizing fins that have pores in their
media. Efforts have been made to solve the porous fins problem by numerical …

Sinc-Galerkin method based upon double exponential transformation for solving Troesch's
problem was given in this study. Properties of the Sinc-Galerkin approach were utilized to …