Results 1 to 10 of about 985 (108)
On symmetric-conjugate composition methods in the numerical integration of differential equations [PDF]
Mathematics of Computation, 2021 We analyze composition methods with complex coefficients exhibiting the so-called “symmetry-conjugate” pattern in their distribution. In particular, we study their behavior with respect to preservation of qualitative properties when projected on the real
S. Blanes +3 more
semanticscholar +1 more source
Pell-Lucas polynomials for numerical treatment of the nonlinear fractional-order Duffing equation
Demonstratio Mathematica, 2023 The nonlinear fractional-order cubic-quintic-heptic Duffing problem will be solved through a new numerical approximation technique. The suggested method is based on the Pell-Lucas polynomials’ operational matrix in the fractional and integer orders.
El-Sayed Adel Abd Elaziz
doaj +1 more source
Analysis and new simulations of fractional Noyes-Field model using Mittag-Leffler kernel
Scientific African, 2022 In this manuscript, the fractional-in-time NoyesField model for Belousov-Zhabotinsky reaction transport is considered with a novel numerical technique, which was used to approximate the Atangana-Baleanu (ABC) operator which models the subdiffusion ...
Berat Karaagac +2 more
doaj +1 more source
An efficient variable stepsize rational method for stiff, singular and singularly perturbed problems
Alexandria Engineering Journal, 2022 In this article, a new iterative method of the rational type having fifth-order of accuracy is proposed to solve initial value problems. The method is self-starting, stable, consistent, and convergent, whereas local truncation error analysis has also ...
Sania Qureshi +5 more
doaj +1 more source
, 2021 This paper focuses on the derivation, analysis and implementation of a hybrid method by optimizing the order of the method by introduction of six-hybrid points for direct solution of fifth order ordinary differential equations of initial value problems ...
R. Ogunrinde +2 more
semanticscholar +1 more source
A new adaptive nonlinear numerical method for singular and stiff differential problems
Alexandria Engineering Journal, 2023 In this work, a new adaptive numerical method is proposed for solving nonlinear, singular, and stiff initial value problems often encountered in real life.
Sania Qureshi +6 more
doaj +1 more source
, 2021 This paper is concerned with a thorough investigation in achieving exact analytical solution for the Van der Pol (VDP) nonlinear oscillators models via Adomian decomposition method (ADM).
E. U. Agom, F. Ogunfiditimi
semanticscholar +1 more source
Computational dynamics of predator-prey model with the power-law kernel
Results in Physics, 2021 Evolution system which contains fractional derivatives can give rise to useful mathematical model for describing some important real-life or physical scenarios.
Kolade M. Owolabi
doaj +1 more source
, 2021 In this work, we adapted another time the Adomian decomposition method for solving nonlinear and non-autonomous ODEs systems. Therefore, our expressions of the Adomian polynomials are determined for a several-variable differential operators. The solution
Z. In, T Badredine
semanticscholar +1 more source
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 +1 more source