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Ordinary Differential Equations and Applied Dynamics Commons™
Open Access. Powered by Scholars. Published by Universities.®
- Discipline
- Keyword
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- Numerical Analysis and Differential Equations (5)
- Applied Mathematics and Computations (4)
- Adomian’s decomposition method (1)
- And auxiliary functions (1)
- Bounded domain (1)
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- Delay differential equation (1)
- Derivative (1)
- Fictitious Boundary Method; Finite Element Method; Multigrid; Particulate Flow (1)
- Fourth-order fractional diffusion-wave equation (1)
- Fractional Differential Equations (1)
- Fractional differential equation (1)
- Homogeneous – heterogeneous reactions (1)
- Homotopy Analysis (1)
- Homotopy Analysis Method (1)
- Jeffery-Hamel flow (1)
- Least square method (1)
- Mathematical Biology and Dynamical Systems (1)
- Modified Riemann–Liouvill (1)
- Modified b-Equation (1)
- Nanofluid (1)
- Nonlinear ordinary differential equations (1)
- Optimal Axillary Function Method (OAFM) (1)
- Optimal auxiliary function method (1)
- Pantograph equations (1)
- Reduced differential transform method (1)
- Runge-Kutta scheme (1)
- Sedimentation; Twin particles. (1)
- Stretching/Shrinking walls (1)
- Systems of nonlinear Volterra integral equations of the second kind (1)
- Temperature dependent thermal conductivity (1)
Articles 1 - 8 of 8
Full-Text Articles in Ordinary Differential Equations and Applied Dynamics
Quartic Autocatalytic Chemical Reaction Of A Non-Newtonian Based Ternary Hybrid Nanofluid, Tunde M. Ajayi, Amos Wale Ogunsola, Olusegun Adebayo Ajala
Quartic Autocatalytic Chemical Reaction Of A Non-Newtonian Based Ternary Hybrid Nanofluid, Tunde M. Ajayi, Amos Wale Ogunsola, Olusegun Adebayo Ajala
International Journal of Emerging Multidisciplinaries: Mathematics
This paper scrutinized the impact of isothermal quartic autocatalytic form of chemical reaction have on a ternary hybrid nanofluid. In view of the nature of chemical reaction that is to take place in the system, a sizeable amount of heat is to be generated into the system, which will have an influence on some of the fluid properties. As such, fluid viscosity and thermal conductivity were considered to be temperature dependent. The ternary hybrid nanofluid was prepared by injecting ternary nanoparticles (Al2O3, SiO2 and Ag) into a non-Newtonian base fluid. The third-grade fluid model was …
Homotopy Analysis Method Using Jumarie’S Approach For Nonlinear Wave-Like Equations Of Fractional-Order, Naveed Imran, Raja Mehmood Khan, Mubashir Qayyum
Homotopy Analysis Method Using Jumarie’S Approach For Nonlinear Wave-Like Equations Of Fractional-Order, Naveed Imran, Raja Mehmood Khan, Mubashir Qayyum
International Journal of Emerging Multidisciplinaries: Mathematics
In this paper, Homotopy Analysis Method (HAM) using the modified Riemann–Liouville fractional derivative proposed by G. Jumarie is applied to tackle the nonlinear wave like equations of fractional-order. The proposed technique is fully compatible with the complexity of these problems and obtained results are highly encouraging. Numerical results coupled with graphical repetitions explicitly reveal the complete reliability and efficiency of the suggested algorithm.
Computational Study Of Twin Circular Particles Settling In Fluid Using A Fictitious Boundary Approach, Imran Abbas, Kamran Usman
Computational Study Of Twin Circular Particles Settling In Fluid Using A Fictitious Boundary Approach, Imran Abbas, Kamran Usman
International Journal of Emerging Multidisciplinaries: Mathematics
The objective of this study is to examine the performance of two adjacent solid particles as they settle in close nearness, with a focus on comprehending the intricate interactions between the particles and the surrounding fluid during the process of sediment transport. Simulations are conducted with different initial horizontal spacing between particles and Reynolds numbers (Re). The findings of the simulations highlight the impact of the initial spacing between particles and Reynolds numbers (Re) as key factors influencing the ultimate settling velocity and separation distance. In general, when the initial spacing between particles is small and the Reynolds number (Re) …
Homotopy Analysis Method For Fourth-Order Time Fractional Diffusion-Wave Equation, Naveed Imran, Raja Mehmood Khan
Homotopy Analysis Method For Fourth-Order Time Fractional Diffusion-Wave Equation, Naveed Imran, Raja Mehmood Khan
International Journal of Emerging Multidisciplinaries: Mathematics
This paper is devoted to the study of a fourth-order fractional diffusion-wave equation defined in a bounded space domain. We apply Homotopy Analysis Method (HAM) to obtain solutions of fourth-order fractional diffusion-wave equation defined in a bounded space domain. It is observed that the HAM improves the accuracy and enlarge the convergence domain.
Theory And Computations For The System Of Integral Equations Via The Use Of Optimal Auxiliary Function Method, Laiq Zada, Falak Naz, Rashid Nawaz
Theory And Computations For The System Of Integral Equations Via The Use Of Optimal Auxiliary Function Method, Laiq Zada, Falak Naz, Rashid Nawaz
International Journal of Emerging Multidisciplinaries: Mathematics
This paper extends the application of Optimal Auxiliary Function Method (OAFM) to the system of integral equations. The system of Volterra integral equations of second kind are taken as test examples. The results obtained by proposed method are compared with different methods i.e., Biorthogonal systems in a Banach space Fixed point, the implicit Trapezoidal rule in conjunction with Newton's method, and Relaxed Monte Carlo method (RMCM). The results revealed that OAFM is more efficient, simple to apply, and fast convergent. The auxiliary functions used in the method control its convergence. The values of arbitrary constants involved in the auxiliary functions …
Effects Of Thermal Radiation On Jeffery Hamel Flow For Stretchable Walls Of Newtonian Fluid: Analytical Investigation, Umar Khan, Adnan Abbasi, Naveed Ahmed, Basharat Ullah
Effects Of Thermal Radiation On Jeffery Hamel Flow For Stretchable Walls Of Newtonian Fluid: Analytical Investigation, Umar Khan, Adnan Abbasi, Naveed Ahmed, Basharat Ullah
International Journal of Emerging Multidisciplinaries: Mathematics
A viscous, incompressible fluid flows between two inclined planar walls. The walls are able to extend and decrease in size. By substituting an appropriate dimensionless variable, the dimensional partial differential equations of the flow model can be transformed into nondimensional ordinary differential equations. Solving nondimensional velocity and temperature in the model is made possible by the use of an analytical approach known as Adomian's decomposition (AD). Runge-Kutta techniques of order four are used to calculate numerical solutions to ensure the correctness of the analytical answer. On velocity and temperature, the impact of several dimensionless physical quantities embedded in the flow …
Reduce Differential Transform Method For Analytical Approximation Of Fractional Delay Differential Equation, Tahir Naseem, Adnan Aurang Zeb, Muhammad Sohail
Reduce Differential Transform Method For Analytical Approximation Of Fractional Delay Differential Equation, Tahir Naseem, Adnan Aurang Zeb, Muhammad Sohail
International Journal of Emerging Multidisciplinaries: Mathematics
The study of an entirely new class of differential equations known as delay differential equations or difference differential equations has resulted from the development and application of automatic control systems (DDEs). Time delays are virtually always present in any system that uses feedback control. Because it takes a finite amount of time to sense information and then react to it, a time delay is required. This exploration was carried out for the solution of fractional delay differential equations by using the reduced differential transform method. The results are presented in a series of form that leads to an exact answer. …
Approximate Solution Of Generalized Modified B-Equation By Optimal Auxiliary Function Method, Aatif Ali, Laiq Zada, Rashid Nawaz
Approximate Solution Of Generalized Modified B-Equation By Optimal Auxiliary Function Method, Aatif Ali, Laiq Zada, Rashid Nawaz
International Journal of Emerging Multidisciplinaries: Mathematics
In this study, the implantation of a new semi-analytical method called the optimal auxiliary function method (OAFM) has been extended to partial differential equations. The adopted method was tested upon for approximate solution of generalized modified b-equation. The first-order numerical solution obtained by OAFM has been compared with the variational homotopy perturbation method (VHPM). The method possesses the auxiliary function and control parameters which can be easily handled during simulation of the nonlinear problem. From the numerical and graphical results, we concluded the method is very effective and easy to implement for the nonlinear PDEs.