A5100713465- Fractional Differential Equations Solutions
- Iterative Methods for Nonlinear Equations
- Nonlinear Waves and Solitons
- Differential Equations and Numerical Methods
- Numerical methods in engineering
- Nonlinear Photonic Systems
- Nanofluid Flow and Heat Transfer
- Numerical methods for differential equations
- Nonlinear Differential Equations Analysis
- Model Reduction and Neural Networks
- Mathematical and Theoretical Epidemiology and Ecology Models
- Algebraic structures and combinatorial models
- Mathematical functions and polynomials
- Composite Structure Analysis and Optimization
- Advanced Mathematical Physics Problems
- Acoustic Wave Phenomena Research
- Heat Transfer and Optimization
- Thermoelastic and Magnetoelastic Phenomena
- Advanced Control Systems Design
- Advanced Fiber Laser Technologies
- Numerical methods in inverse problems
- Fluid Dynamics and Turbulent Flows
- Experimental and Theoretical Physics Studies
- Advanced Adaptive Filtering Techniques
- Heat Transfer Mechanisms
Ege University
2012-2024
International University of Sarajevo
2024
Arçelik (Turkey)
2024
Türk Otomobil Fabrikası (Turkey)
2023
Gaziantep University
2022
University of South Florida
2011-2013
Izmir Institute of Technology
2012-2013
Universidad Veracruzana
2013
Gümüşhane University
2012
Sultan Qaboos University
2012
Article A Comparative Study of He's Homotopy Perturbation Method for Determining Frequency-amplitude Relation a Nonlinear Oscillator with Discontinuities was published on June 1, 2007 in the journal International Journal Sciences and Numerical Simulation (volume 8, issue 2).
Article An Algorithm for Solving the Fractional Nonlinear Schrödinger Equation by Means of Homotopy Perturbation Method was published on April 1, 2009 in journal International Journal Sciences and Numerical Simulation (volume 10, issue 4).
Abstract The three-dimensional problem of steady fluid deposition on an inclined rotating disk is illustrated in this study. governing non-linear partial differential equations are reduced to the nonlinear ordinary system by similarity transform. analytical solution applied solve Homotopy Perturbation Method (HPM). velocity and temperature profiles shown influence Prandtl number rotation ratio flow field Nusselt discussed detail. validity our solutions verified numerical results.
Abstract In this study, experimental and numerical crash analyses are carried out to reach an optimum bumper beam energy absorber design for a passenger car. Design parameters have been created determine the most crash-efficient models. The models that formed by using Taguchi tables subjected analysis, responses obtained find optimal design. Response surface methodology is used approximate structural in differential evolution algorithm. model analysis Hyperform software without considering...
Article Traveling Wave Solution of Korteweg-de Vries Equation using He's Homotopy Perturbation Method was published on June 1, 2007 in the journal International Journal Nonlinear Sciences and Numerical Simulation (volume 8, issue 2).
In this study, homotopy perturbation method (HPM) is used to obtain analytic and approximate solutions of the space- time-fractional telegraph equations. The derivatives are considered in Caputo sense. calculated form a series with easily computable terms. Some examples given. results reveal that HPM very effective convenient.
In this paper, we propose a powerful modification of the homotopy perturbation method that will accelerate rapid convergence series solution. The modified is employed to solve MHD boundary-layer equations. viscous fluid electrically conducting in presence uniform applied magnetic field and induced neglected for small Reynolds number. Similarity solutions ordinary differential equation resulting from momentum are obtained. Finally, some numerical comparisons among new method, standard...