International Journal of Applied and Computational Mathematics
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A Mathematical Modeling Approach to Analyse the Effect of Additional Food in a Predator-Prey Interactions with a White Gaussian Noise in Prey’s Growth Rate
International Journal of Applied and Computational Mathematics - Tập 8 - Trang 1-20 - 2022
In this paper a prey-predator mathematical model including the additional food for predator and refuge for prey is considered with a Holling functional response of kind II. The mathematical analyses for positivity, existence and stability of the system around the equilibria are presented. In the first part, it is shown that an increase in the amount of additional food for predator causes a substan...... hiện toàn bộ
Numerical Investigation on Pulsating Hydromagnetic Flow of Chemically Reactive Micropolar Nanofluid in a Channel with Brownian Motion, Thermophoresis and Ohmic Heating
International Journal of Applied and Computational Mathematics - Tập 8 Số 3 - Trang 1-20 - 2022
This work examines the behavior of pulsating hydromagnetic flow of micropolar nanofluid in a channel with slip effects by employing Buongiorno’s nanofluid model. The effects of Brownian motion, thermophoresis, and Joule heating (Ohmic heating) are taken into account. A perturbation approach is applied to transform the governing partial differential equations (PDEs) into ordinary differential equat...... hiện toàn bộ
On the Thermal Hysteresis Behavior of Encapsulated Latent Heat Storage with Various Geometry
International Journal of Applied and Computational Mathematics - Tập 9 - Trang 1-26 - 2023
In this work, thermal hysteresis of PCM inside different encapsulated configurations (circle, triangle and square) during melting and solidification processes are investigated numerically. Charging and discharging of a latent heat storage during unsteady complex phenomena was simulated numerically using the finite element method. The results indicate that the time elapsed was minimum for triangula...... hiện toàn bộ
An EOQ Model for Time Dependent Backlogging Over Idle Time: A Step Order Fuzzy Approach
International Journal of Applied and Computational Mathematics - Tập 1 - Trang 171-185 - 2014
The present article deals with a backorder Economic Order Quantity (EOQ) model for natural leisure/closing time system where the demand rate depends upon the total shortage period and the seasonal effect. A cost minimization problem is developed by trading off setup cost, inventory cost, cost for idle time and shortage cost. The intuitionistic step order fuzzy number for optimization has been deve...... hiện toàn bộ
Analysis of Strongly Nonlinear Systems by Using HBM-AFT Method and Its Comparison with the Five-Order Runge–Kutta Method: Application to Duffing Oscillator and Disc Brake Model
International Journal of Applied and Computational Mathematics - Tập 6 - Trang 1-20 - 2020
Non-linear dynamic problems are difficult to analyze since no general methods exist to deal with them, which namely depend on several factors such as the nature of the problem, the type of non-linearity or the type of solution to be sought. While some methods are used to study weak nonlinearities, others can more easily solve strong nonlinearities. Therefore, the aim of the present paper is to fin...... hiện toàn bộ
Optimized BiCGStab Based GPU Accelerated Computation of Incompressible Viscous Flows by the $$\psi $$ –v Formulation
International Journal of Applied and Computational Mathematics - Tập 3 - Trang 1477-1495 - 2017
In this work, we present an optimization strategy for implementing the BiCGStab iterative solver on graphic processing units (GPU) for computing incompressible viscous flows governed by the unsteady Navier–Stokes (N–S) equations on a CUDA platform. A recently developed
$$\psi $$
...... hiện toàn bộ
Two Novel Methods for Fractional Nonlinear Whitham–Broer–Kaup Equations Arising in Shallow Water
International Journal of Applied and Computational Mathematics - Tập 9 - Trang 1-39 - 2023
In the present paper, we investigate the approximate analytic solution of the time-fractional nonlinear coupled Whitham–Broer–Kaup equations arising in shallow water with the aid of two novel approaches namely
$$q$$
-homotopy analysis Sumudu transform method (q-HASTM) and Homotopy perturbation Sumu...... hiện toàn bộ
A New Class of Hermite-Based Higher Order Central Fubini Polynomials
International Journal of Applied and Computational Mathematics - - 2020
Ecological Models on Multi Species Interaction within Unlimited Resources
International Journal of Applied and Computational Mathematics - Tập 6 - Trang 1-10 - 2020
In this paper, we present a three species food web system in that two species are interacting mutually and a third species, which is a predator to the first species and host for the second species i.e. there is a commensalism interaction between second and third species. All three species considered in unbounded availability of natural resources. The analytical investigations of this ecological mo...... hiện toàn bộ
Boundary Integrals for Data Reconstruction on an Elastostatic Crack
International Journal of Applied and Computational Mathematics - Tập 8 - Trang 1-15 - 2022
The elastostatic Cauchy problem of fracture mechanics is studied in a two-dimensional bounded domain containing a crack. Given Cauchy data on the boundary of the domain, the displacement and normal stress (traction) are reconstructed on the crack. The reconstruction is done by reducing the original problem, via the elastostatic potential, to a system of integral equations to be solved for densitie...... hiện toàn bộ
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