Results 41 to 50 of about 1,053 (100)

The solution of Cahn-Allen equation based on Bernoulli sub-equation method

Results in Physics, 2019
In this article, we present an analytical method for finding the solutions of the Cahn-Allen equation (CAE) based on the Bernoulli sub-equation method (BSEM). We find an infinite number of solutions which are divided into eight families.
Muhammed I. Syam
doaj  

A modified predictor–corrector scheme with graded mesh for numerical solutions of nonlinear Ψ-caputo fractional-order systems

Open Mathematics
The aim of this article is to develop a modified predictor–corrector scheme for solving the system of nonlinear Ψ\Psi -Caputo fractional differential equations with order ...
Songsanga Danuruj, Sa Ngiamsunthorn Parinya   +1 more
doaj   +1 more source

APPLICATION OF GENERALIZED DIFFERENTIAL TRANSFORM METHOD TO FRACTIONAL ORDER RICCATI DIFFERENTIAL EQUATION AND NUMERICAL RESULT

, 2015
In the present paper, we obtain the approximate solutions of Fractional Order Riccati Differential Equation by Generalized Differential Transform Method (GDTM). The fractional derivatives are described in the Caputo sense.
M. Bansal, R. Jain
semanticscholar   +1 more source

Modeling micro-macro pedestrian counterflow in heterogeneous domains [PDF]

, 2010
We present a micro-macro strategy able to describe the dynamics of crowds in heterogeneous media. Herein we focus on the example of pedestrian counterflow. The main working tools include the use of mass and porosity measures together with their transport
Evers, Joep, Muntean, Adrian
core   +8 more sources

APPLICATION OF MULTISTEP REPRODUCING KERNEL HILBERT SPACE METHOD FOR SOLVING GIVING UP SMOKING MODEL

, 2016
Smoking is the leading avoidable cause of death in the world. In this paper, we apply the Reproducing Kernel Hilbert Space method on the giving up smoking model to find an approximate solution of the model then we compare it with the fourth order Runge ...
S. Bushnaq, Banan Maayah, A. Alhabees
semanticscholar   +1 more source

The Lack of Continuity and the Role of Infinite and Infinitesimal in Numerical Methods for ODEs: the Case of Symplecticity

, 2010
When numerically integrating canonical Hamiltonian systems, the long-term conservation of some of its invariants, among which the Hamiltonian function itself, assumes a central role.
Brugnano, Luigi, Iavernaro, Felice, Trigiante, Donato   +2 more
core   +1 more source

A reliable method for first order delay equations based on the implicit hybrid method

Alexandria Engineering Journal, 2020
In this paper, a reliable approach based on the implicit hybrid method is presented to solve first order delay problems. The main difficulty in this approach is that, some points are not grid points.
Muhammed I. Syam, Mohammed Al-Refai
doaj  

An adaptive stepsize algorithm for the numerical solving of initial-value problems

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2015
The present paper focuses on the efficient numerical solving of initial-value problems (IVPs) using digital computers and one-step numerical methods. We start from considering that the integration stepsize is the crucial factor in determining the number ...
Militaru Romulus
doaj   +1 more source

Gaussian Approximations of Small Noise Diffusions in Kullback-Leibler Divergence [PDF]

, 2016
We study Gaussian approximations to the distribution of a diffusion. The approximations are easy to compute: they are defined by two simple ordinary differential equations for the mean and the covariance.
Sanz-Alonso, Daniel, Stuart, Andrew M.
core   +1 more source

Modelling and analysis of fractal-fractional partial differential equations: Application to reaction-diffusion model

Alexandria Engineering Journal, 2020
In this paper, an extension is paid to an idea of fractal and fractional derivatives which has been applied to a number of ordinary differential equations to model a system of partial differential equations.
Kolade M. Owolabi, Abdon Atangana, Ali Akgul   +2 more
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