Search Results - "Momani, Shaher"
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1
Approximate analytical solution of the nonlinear fractional KdV–Burgers equation: A new iterative algorithm
Published in Journal of computational physics (01-07-2015)“…In this paper, explicit and approximate solutions of the nonlinear fractional KdV-Burgers equation with time-space-fractional derivatives are presented and…”
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2
ATSS model based upon applications of Cattaneo-Christov thermal analysis for entropy optimized ternary nanomaterial flow with homogeneous-heterogeneous chemical reactions
Published in Alexandria engineering journal (15-09-2023)“…ATSS model for magnetohydrodynamic Darcy-Forchheimer radiative ternary nanoliquid flow by curved stretched sheet is constructed. Ternary nanoliquid consists of…”
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3
Analytical solution of a time-fractional Navier–Stokes equation by Adomian decomposition method
Published in Applied mathematics and computation (15-06-2006)“…The aim of the present analysis is to apply Adomian decomposition method for the solution of a time-fractional Navier–Stokes equation in a tube. By using an…”
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4
Optimization Solution of Troesch's and Bratu's Problems of Ordinary Type Using Novel Continuous Genetic Algorithm
Published in Discrete Dynamics in Nature and Society (01-01-2014)“…A new kind of optimization technique, namely, continuous genetic algorithm, is presented in this paper for numerically approximating the solutions of Troesch’s…”
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5
ARA-residual power series method for solving partial fractional differential equations
Published in Alexandria engineering journal (01-01-2023)“…In this article a new approach in solving time fractional partial differential equations (TFPDEs) is introduced, that is, the ARA-residual power series method…”
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6
Non-similar analysis of the Cattaneo-Christov model in MHD second-grade nanofluid flow with Soret and Dufour effects
Published in Alexandria engineering journal (01-05-2023)“…Influences of Soret (thermo-diffusion) and Dufour (diffusion-thermo) effects for MHD second grade nanofluid flow by a stretchable Riga surface is investigated…”
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7
An attractive numerical algorithm for solving nonlinear Caputo–Fabrizio fractional Abel differential equation in a Hilbert space
Published in Advances in difference equations (26-05-2021)“…Our aim in this paper is presenting an attractive numerical approach giving an accurate solution to the nonlinear fractional Abel differential equation based…”
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8
The cubic B-spline interpolation method for numerical point solutions of conformable boundary value problems
Published in Alexandria engineering journal (01-02-2022)“…In this analysis, the cubic B-spline method is employed for constructing the approximate solutions of a class of fractional two-point boundary value problems…”
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9
Generalized differential transform method: Application to differential equations of fractional order
Published in Applied mathematics and computation (01-04-2008)“…In this paper we propose a new generalization of the one-dimensional differential transform method that will extend the application of the method to…”
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10
Computational algorithm for solving drug pharmacokinetic model under uncertainty with nonsingular kernel type Caputo-Fabrizio fractional derivative
Published in Alexandria engineering journal (01-10-2021)“…This paper proposes an advanced numerical-analytical approach for handling a class of fuzzy fractional differential equations involving Caputo-Fabrizio…”
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11
Directed simplicial complexes in brain real-world networks
Published in The European physical journal. ST, Special topics (2024)“…In this study, the higher order interactions, which are complex interactions involving more than two neurons, are studied in two real-world networks. These…”
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12
Melting and dissipative effects about entropy induced Darcy-Forchheimer flow involving ternary-hybrid nanofluids
Published in Case studies in thermal engineering (01-03-2024)“…Here we examine melting heat in flow of ternary-hybrid nanoliquid bounded by stretching surface. Alumina (Al2O3), Silica (SiO2) and Copper Oxide (CuO) are…”
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13
New higher-order implict method for approximating solutions of the initial value problems
Published in Journal of applied mathematics & computing (2024)“…This work is dedicated to advancing the approximation of initial value problems through the introduction of an innovative and superior method inspired by…”
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14
New optical soliton solutions for coupled resonant Davey-Stewartson system with conformable operator
Published in Optical and quantum electronics (01-06-2022)“…This paper investigates the novel soliton solutions of the coupled fractional system of the resonant Davey-Stewartson equations, which is a notable and…”
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15
Two computational approaches for solving a fractional obstacle system in Hilbert space
Published in Advances in difference equations (08-02-2019)“…The primary motivation of this paper is to extend the application of the reproducing-kernel method (RKM) and the residual power series method (RPSM) to conduct…”
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16
An explicit and numerical solutions of the fractional KdV equation
Published in Mathematics and computers in simulation (08-09-2005)“…In this paper, a fractional Korteweg-de Vries equation (KdV for short) with initial condition is introduced by replacing the first order time and space…”
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17
A robust scheme for reduction of higher fractional-order systems
Published in Journal of engineering mathematics (01-02-2024)“…The objective of this work is to present a numerical solution to a system of higher fractional-order differential equations with initial value problems. In…”
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18
Fractional-order biological system: chaos, multistability and coexisting attractors
Published in The European physical journal. ST, Special topics (01-06-2022)“…In this paper, the nonlinear dynamics of the biological system modeled by the fractional incommensurate order Van der Pol equations are investigated. The…”
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19
Capturing of solitons collisions and reflections in nonlinear Schrödinger type equations by a conservative scheme based on MOL
Published in Advances in difference equations (27-07-2021)“…In this work, we develop an efficient numerical scheme based on the method of lines (MOL) to investigate the interesting phenomenon of collisions and…”
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20
Entropy optimized flow subject to variable fluid characteristics and convective conditions
Published in Alexandria engineering journal (01-01-2024)“…Background and objective: Nanofluids possess significant enhancement in nanomaterial properties such as convective heat transfer coefficient, thermal…”
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