A5091226249- Fractional Differential Equations Solutions
- Differential Equations and Numerical Methods
- Iterative Methods for Nonlinear Equations
- Numerical methods for differential equations
- Nonlinear Waves and Solitons
- Brake Systems and Friction Analysis
- COVID-19 epidemiological studies
- Hibiscus Plant Research Studies
- Mathematical functions and polynomials
- Matrix Theory and Algorithms
- COVID-19 Pandemic Impacts
- Power Transformer Diagnostics and Insulation
- Fluid Dynamics and Turbulent Flows
- Nanofluid Flow and Heat Transfer
- Magnetic Bearings and Levitation Dynamics
- Market Dynamics and Volatility
- Electromagnetic Simulation and Numerical Methods
- Nonlinear Differential Equations Analysis
Jadara University
2019-2024
Northern University of Malaysia
2015
In this study, we applied the Laplace residual power series method (LRPSM) to expand solution of nonlinear time-fractional coupled Hirota–Satsuma and KdV equations in form a rapidly convergent while considering Caputo fractional derivatives. We demonstrate applicability accuracy proposed with some examples. The numerical results graphical representations reveal that performs extremely well terms efficiency simplicity. Therefore, it can be utilized solve more problems field non-linear...
<abstract><p>In this study, we develop a collocation method based on cubic B-spline functions for effectively solving the system of Lane-Emden type equations arising in physics, star structure, and astrophysics. To overcome singularity behavior considered at τ = 0, apply L'Hôpital rule. Furthermore, have carried out convergence analysis proposed demonstrated that it has second-order convergence. demonstrate effectiveness, accuracy, simplicity, practicality method, five test...
Fractional-order boundary value problems are used to model certain phenomena in chemistry, physics, biology, and engineering. However, some of these models do not meet the existence uniqueness required mainstream mathematical processes. Therefore, this paper, existence, stability, for solution coupled system Caputo-type sequential fractional differential equation, involving integral conditions, was discussed, investigated. Leray–Schauder’s alternative applied derive solution, while Banach’s...
In this article, we apply the Daftardar-Gejji and Jafari method (DJM) to solve multispecies Lotka–Volterra equation. A comparison between DJM, differential transformation (DTM), variational iteration (VIM), Adomian decomposition (ADM) shows that DJM is a reliable powerful for solving nonlinear equations. The efficiency applicability of are confirmed by considering some examples. proposed procedure provides better results in existing methods.
<abstract> <p>The quadratic Riccati equations are first-order nonlinear differential with numerous applications in various applied science and engineering areas. Therefore, several numerical approaches have been derived to find their solutions. This paper provided the approximate solution of equation via cubic b-spline method. The convergence analysis method is discussed. efficiency applicability proposed approach verified through three test problems. obtained results good...
<abstract> <p>This study presents a new and attractive analytical approach to treat systems with fractional multi-pantograph equations. We introduce the solution as rapidly-converging series using Laplace residual power technique. This method controls range of convergence can be easily programmed find many terms coefficients by computer software. To show efficiency strength proposed method, we compare results obtained in this those Homotopy analysis Furthermore, two exciting...
AbstractAbstractIn this paper, the nonlinear Bratu type equation is numerically solved via quintic B-spline method. It shown that proposed technique has fourth order convergence. The efficiency and applicability of method confirmed by considering some examples. procedure provides better results in comparison to existing methods.Subject Classification: 34B1541A1534K28Keywords: Boundary value problemBratu equationQuintic methodNumerical solution
AbstractIn this paper, we propose an algorithm using the cubic spline interpolation on finite difference method to solve Bratu-type equation. The has been successfully implemented. Numerical results are also given demonstrate validity and applicability of proposed algorithm. obtained show that perform better than some existing methods in literature.Keywords: Bratu-Type EquationCubic SplineFinite DifferenceDifferential Equations
In this article, a fourth order quartic spline method has been developed to obtain the numerical solution of second boundary value problem with Dirichlet conditions. The development and convergence analysis have presented. Three test problems used for experimentations purposes. Numerical showed that generates more accurate results compared an existing cubic in solving problems.
<abstract> <p>In the present study, we introduce a collocation approach utilizing quintic B-spline functions as bases for solving systems of Lane Emden equations which have various applications in theoretical physics and astrophysics. The method derives solution provided system by converting it into set algebraic with unknown coefficients, can be easily solved to determine these coefficients. Examining convergence theory proposed reveals that yields fourth-order convergent...
This study presents and implements a new hybrid technique that combines the Sawi transform (ST) Homotopy perturbation method (HPM) to solve neutral functional-differential equations with proportional delays. Some of important properties are established validated. We start by first applying ST obtain recurrence relation. We, next, implement HPM find convergent series solutions The is free assumptions restrictions, highlighting its adaptability robustness. Moreover, convergence through...
Views Icon Article contents Figures & tables Video Audio Supplementary Data Peer Review Share Twitter Facebook Reddit LinkedIn Tools Reprints and Permissions Cite Search Site Citation Osama Ala'yed, Teh Yuan Ying, Azizan Saaban; Numerical solution of first order initial value problem using quartic spline method. AIP Conf. Proc. 11 December 2015; 1691 (1): 040003. https://doi.org/10.1063/1.4937053 Download citation file: Ris (Zotero) Reference Manager EasyBib Bookends Mendeley Papers EndNote...