In this paper, a new iterative formula for solving ordinary and partial nonlinear differential equations is derived based on the combination between Bernstein’s polynomial and the Adomian ...

Damped Burger’s equation describes the characteristics of one-dimensional nonlinear shock waves in the presence of damping effects and is significant in fluid dynamics, plasma physics, and other ...

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 ...

Abstract: In the interaction between control and mathematics, mathematical tools are fundamental for all control methods, but it is unclear how control impacts mathematics. This article attempts to ...

1 Department of Mathematics, Lahore Leads University, Lahore, Pakistan. 2 Department of Mathematics, GC University, Lahore, Pakistan. 3 School of Mathematics and Statistics, Xi’an Jiaotong University, ...

Abstract: It is shown that the application of Jacobi iteration to the linear algebraic equations obtained from the state equations of a linear CNN with constant input by setting the derivatives of the ...