Abstract: A simple mathematical model for the behaviour of how vehicles follow each other along a looped stretch of road is described. The resulting coupled first order differential equations are ...

SIAM Journal on Numerical Analysis, Vol. 55, No. 6 (2017), pp. 3097-3119 (23 pages) We consider the problem of stabilizing a matrix by a correction of minimal norm: Given a square matrix that has some ...

Abstract: This research intends to create a novel approach for solving fractional differential equations (FDEs) of both linear and nonlinear types utilizing the fractional shifted Legendre neural ...

Boundary value problems in differential equations constitute a fundamental area of study in mathematical science, where solutions to differential equations are sought under prescribed conditions ...

SIAM Journal on Numerical Analysis, Vol. 5, No. 3 (Sep., 1968), pp. 530-558 (29 pages) A new iterative method has been developed for solving the large sets of algebraic equations that arise in the ...

The nonlinear Riccati differential equation, since its enunciation by Jacopo Riccati in 1724, has become a legendary equation. Despite a 300-year search for a solution, it has not been possible to ...

The Bi-Section method finds roots of non-linear equations using interval bisection. Initial Range Calculation: Determines an initial maximum range ((-|xmax|, |xmax|)) for root existence. Calculation ...