We analyze the behavior of an ensemble time integrators applied to semi-discrete problem resulting from spectral discretization equations describing Boussinesq thermal convection in a cylindrical annulus. The are cast their vorticity-streamfunction formulation that yields differential algebraic equation (DAE). comprises 28 members: 4 implicit-explicit multistep schemes, 22 Runge-Kutta (IMEX-RK)...

In this paper, the multiple solutions of Nth-order fuzzy differential equations by the equivalent integral forms are considered. Also, an Existence and uniqueness theorem of solution of Nth-order fuzzy differential equations is proved under Nth-order generalized differentiability in Banach space.

An initial value problem for a Fractional Differential Equation (FDE) can be reformulated as a Volterra integral equation of the second kind with weakly singular kernel. Its solution can be approximated by applying suitable convolution quadratures. Methods of this type currently available in the literature are, for example, Adams product quadrature rules or Fractional Linear Multistep Methods, ...

This research study aims to investigate the effects of vaccination on reducing disease burden by analyzing a complex nonlinear ordinary differential equation system. The focuses five distinct sub-classes within system comprehensively explore impact vaccination. Specifically, mathematical model employed in this investigation is fractional representation tuberculosis, utilizing Atangana–Baleanu d...

In this paper, we study the numerical method for Nonlinear Fuzzy Differential Equations by an application of the Leapfrog method for fuzzy differential equations. And, we present an example with initial condition [28] having two different solutions to illustrate the efficiency of the proposed Leapfrog method. Solution graphs are presented to highlight the efficiency of the Leapfrog method.

Existence and uniqueness theorems are proved for Cauchy problems of second-order fuzzy differential equations. 1. Introduction. In 1972, Chang and Zadeh [2] first introduced the concept of fuzzy derivative, followed up ten years later by Dubois and Prade [5], who used the extension principle in their approach. In the mean time, Puri and Ralescu [12] used the notion of H-differentiability to ext...