Local absorbing boundary conditions (LABCs) for nonlinear Schrödinger equations have been constructed in papers [PRE 78(2008) 026709; and PRE 79 (2009) 046711] using the so-called unified approach. In ...

Methods of numerical modelling with undergraduate level computational physics solutions with non-linear equations, gaussian probabilities, and Euler RK4 integration in this repository, we learn how to ...

A graphic artist is testing everyone’s knowledge of the mathematical order of operations with a string of numbers and missing arithmetic symbols. Gergely Dudás, of Budapest, Hungary, shared the new ...

1 Department of Mathematics, Faculty of Science, Al Balqa Applied University, Salt, Jordan 2 Department of Mathematics, Faculty of Science, Zarqa University, Zarqa, Jordan This article circumvents the ...

Abstract: During the past two decades, many evolutionary algorithms have been proposed to solve nonlinear equation systems (NESs). However, the benchmark test sets have not received enough attention.

Say we got two equations 3x+2y=5 and 6x-2y=4. First they are represented as arrays. 3x+2y=5 is represented as [3,2,5] 6x-2y=4 is represented as [6,-2,4] Then these arrays are appended in one array as ...

Abstract: Although it is known that Gaussian elimination method for solving simultaneous linear equations is not asymptotically optimal, it is still one of the most useful methods for solving systems ...

In this article, we construct exact traveling wave solutions of the loaded Korteweg-de Vries, the loaded modified Korteweg-de Vries, and the loaded Gardner equation by the functional variable method.

In this paper, two different approaches to solve underdetermined nonlinear system of equations are proposed. In one of them, the derivative-free method defined by La Cruz, Martínez and Raydan for ...