A variation of the direct Taylor expansion algorithm is suggested and applied to several linear and nonlinear differential equations of interest in physics and engineering, and the results are ...

Universal fluctuations are shown to exist when well-known and widely used numerical algorithms are applied with random data. Similar universal behavior is shown in stochastic algorithms and also in an ...

A novel heuristic technique has been developed for solving Ordinary Differential Equation (ODE) numerically under the framework of Genetic Algorithm (GA). The method incorporates a sniffer procedure ...

Abstract: Engineering changes (ECs) are raised throughout the lifecycle of engineering products. A single change to one component produces knock-on effects on others necessitating additional changes.

Abstract: The Turing pattern formation is modeled by reaction-diffusion (RD) type partial differential equations, and it plays a crucial role in ecological studies. Big data analytics and suitable ...

A 1-D Finite Difference Time Domain algorithm is used to simulate electromagnetic wave behavior. The governing equations for the algorithm to work are the Maxwell's equations. The curl equations of ...

A general elastic-thread homogenization procedure is introduced and then used to obtain direct numerical estimates of the shear modulus of Gaussian polymer networks on the basis of their ...