In this paper, a Chebyshev polynomial approximation for the solution of second-order partial differential equations with two variables and variable coefficients is given. Also, Chebyshev matrix is ...

Abstract: The semiconductor has a characteristic of nonlinear impedance that is varied by input voltage, frequency and temperature. The nonlinear characteristic complicates to solve the crosstalk ...

Abstract: To approximate functions of a single variable by using linear interpolation is routine in empirical studies. Here, we consider approximating functions of several variables in a similar ...

In this paper, we consider an optimal control problem governed by linear parabolic differential equations with memory. Under the assumption that the corresponding linear parabolic differential ...

The theory of fractional calculus is initiated by Leibniz, Liouville, Riemann, Grunwald and Letnikov and since then has been found many applications in science and engineering. Finding accurate and ...

This Python project utilizes Tkinter to create a graphical user interface (GUI) that enables users to input data, select numerical methods, and visualize approximate solutions for first-order linear ...

Mathematics of Computation, Vol. 79, No. 269 (JANUARY 2010), pp. 125-146 (22 pages) We provide a convergence result for numerical schemes approximating nonlocal front propagation equations. Our ...