Explicit Finite Difference Methods for the Delay Pseudoparabolic Equations by I. Amirali, G. M. Amiraliyev, M. Cakir, E. Cimen

Get full text

Modifying Explicit Finite Difference Method by Using Radial Basis Function Neural Network by Omar Kasim

“…In this research, we use artificial neural networks, specifically radial basis function neural network (RBFNN) to improve the performance and work of the explicit finite differences method (EFDM), where it was compared, the modified method with an explicit finite differences method through solving the Murray equation and showing by comparing results with the exact solution that the improved method by using  (RBFNN) is the best and most accurate by giving less error rate through root mean square error (RMSE) from the classical method (EFDM).…”
Get full text

Modeling Streamer Discharge in Air Using Implicit and Explicit Finite Difference Methods with Flux Correction by Hasupama Jayasinghe, Liliana Arevalo, Richard Morrow, Vernon Cooray

Get full text

Numerical Simulations for the Space-Time Variable Order Nonlinear Fractional Wave Equation by Nasser Hassan Sweilam, Taghreed Abdul Rahman Assiri

“…The explicit finite-difference method for solving variable order fractional space-time wave equation with a nonlinear source term is considered. …”
Get full text

Two Numerical Methods for Solving the Schrödinger Parabolic and Pseudoparabolic Partial Differential Equations by Mahmut Modanli, Bushra Bajjah, Sevgi Kuşulay

“…The modified double Laplace decomposition method is applied to get the semianalytic solutions and the explicit finite difference method to get the approximate solutions of the problems. …”
Get full text

A numerical investigation of non-rotational, rigid spherical particle sedimentation problem in viscous fluid by Nguyen Hong Phan, Nguyen Van Diep

“…Here a numerical solution of non-stationary sedimentation process is obtained by using the explicit finite difference method. The obtained results show that this model can be used for qualitative study of physical phenomenon of sedimentation problem. …”
Get full text

Analysis of Magnetohydrodynamics Flow of Incompressible Fluids over Oscillating Bottom Surface with Heat and Mass Transfer by Vincent M. Bulinda, Giterere P. Kang’ethe, Phineas R. Kiogora

“…The unsteady flow two-dimensional governing equations are solved numerically by the explicit finite difference method of the Forward Time Backward Space scheme. …”
Get full text

Modified Explicit Scheme for Solving Neutrosophic Fuzzy Heat Equation by Hamzeh Zureigat

“…In this paper, an explicit finite difference method is developed and applied for the first time to solve the neutrosophic fuzzy heat equation. …”
Get full text

Solving American Option Pricing Models by the Front Fixing Method: Numerical Analysis and Computing by R. Company, V. N. Egorova, L. Jódar

“…This paper presents an explicit finite-difference method for nonlinear partial differential equation appearing as a transformed Black-Scholes equation for American put option under logarithmic front fixing transformation. …”
Get full text

Numerical Simulation of Finite Deformations of a Dynamically Loaded Elasto-Viscoplastic Circular Membrane by W. Dornowski

“…The theory is completed by an algorithm of the explicit finite difference method. With respect to the conditional stability of that method, the stability criterion is given. …”
Get full text

Numerical Solution of the Sine–Gordon Equation by Novel Physics-Informed Neural Networks and Two Different Finite Difference Methods by Svetislav Savović, Miloš Ivanović, Branko Drljača, Ana Simović

“…This study employs a novel physics-informed neural network (PINN) approach, the standard explicit finite difference method (EFDM) and unconditionally positivity preserving FDM to tackle the one-dimensional Sine–Gordon equation (SGE). …”
Get full text

Numerical exploration of Hall and Dufour effects on rotating MHD natural convection near an infinite vertical plate with ramped boundary conditions using FDM and RSM using combined... by Obulesu Mopuri, Charankumar Ganteda, Rudraravi Kumar Palegari, G. Jaya Lalitha, P. Harikrishna, K. Rajyalakshmi, Vediyappan Govindan, Haewon Byeon, Busayamas Pimpunchat

“…The governing equations are transformed into dimensionless form and solved using an explicit finite difference method (FDM), with numerical results for velocity, temperature, concentration, viscous drag, heat, and mass transfer rates analyzed using MATLAB. …”
Get full text

Hybrid Finite Differences Technique for Solving the Nonlinear Fractional Korteweg-De Vries-Burger Equation by almutasim Hamed, Ekhlass Al-Rawi

“…The findings highlight the effectiveness of the proposed method across a range of fractional derivative values when compared to the exact solution and conventional explicit finite difference methods.…”
Get full text

Continuous [C] content prediction model in molten steel of the all-scrap electric arc furnace by Yan Wang, Jing Li, Shen-yang Song, Bo Cui, Shen Liu

“…The continuous [C] content prediction model in molten steel of the all-scrap electric arc furnace was established through the explicit finite difference method combined with numerical simulation based on the thermodynamics and kinetics of the decarburization reaction. …”
Get full text

Dynamic Heat Transfer Modelling and Thermal Performance Evaluation for Cadmium Telluride-Based Vacuum Photovoltaic Glazing by Changyu Qiu, Hongxing Yang, Kaijun Dong

“…Based on the numerical solutions using the explicit finite difference method (FDM), the temperature profile of the vacuum PV glazing can be obtained dynamically. …”
Get full text