Sinc methods are now recognized as an efficient numerical method for problems whose solutions may have singularities, or infinite domains, or boundary layers. This work deals with the sinc-collocation ...

Due to this important property, this research aims to develop an efficient numerical method for solving a class ... just requires solving a sequence of linear fractional-order BVPs. Finally, four ...

No one method can be used to solve all of them, and only a small percentage have been solved. This book examines the general linear partial differential equation of arbitrary order m. Even this ...

For homogeneous linear first-order differential equations, it is shown that Picard’s method of successive approximations is effective to furnish a closed-form solution even if the coefficient is an ...

For this purpose, the former form is first expressed by a fractional order linear differential equation. Then, by applying the modulating functions method the fractional ... Finally, numerical ...

Abstract: In the present paper a reduced order ... equation. The Discrete Empirical Interpolation Method (DEIM) delivers a reliable and accurate modeling approach. Finally, accuracy of the reduced ...