Abstract: We consider the problem of finding an input signal which transfers a linear boundary controlled 1-D parabolic partial differential equation with spatially varying coefficients from a given ...

Michael and Gerald Shvartsman, who had originally pleaded not guilty to securities fraud charges, each pleaded guilty to one count of securities fraud. By Matthew Goldstein Two brothers from Miami ...

This paper presents a parameter-uniform numerical method to solve the time dependent singularly perturbed delay parabolic convection-diffusion problems. The solution to these problems displays a ...

1 Department of Applied Mathematics, Adama Science and Technology University, Adama, Ethiopia 2 Department of Mathematics and Applied Mathematics, University of the Western Cape, Cape Town, South ...

Heat energy plays an essential role in numerous engineering applications, from thermal management in electronic devices to the design of efficient energy systems. Understanding and predicting the ...

If the solution of (1.1) is analytic on the region then the difference approximation (2.8) to (1.1) are stable. Table 1. (x = 0/100, 2/100, 20/100, 50/100, 70/100, 98/100), (t = 0, 2/100, 10/100, ...

Stochastic partial differential equations (SPDEs) describe the dynamics of stochastic processes depending on space-time continuum. These equations have been widely used to model many applications in ...

Abstract: Parallel algorithm for solving partial differential equations, mainly by re-construct a finite difference scheme. So the required solution of the difference can be split into several smaller ...

Journal of Computational Mathematics, Vol. 21, No. 1, SPECIAL ISSUE DEDICATED TO THE 80TH BIRTHDAY OF PROFESSOR ZHOU YULIN (JANUARY 2003), pp. 63-70 (8 pages) In this paper we are going to discuss the ...