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

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

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Finite difference methods for the generalized Huxley and Burgers-Huxley equations by Bilge Inan

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The Finite Difference Methods for φ4 Klein-Gordon Equation by Saad Manaa, Laya Hawell

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An efficient explicit group method for time fractional Burgers equation by Fouad Mohammad Salama

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Comparison of Finite Difference Solution Methods for Reaction Diffusion System in Two Dimensions by Abbas Al-Bayati, Saad Manaa, Abdulghafor Al-Rozbayani

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PENYELESAIAN SISTEM PEMBENTUKAN SEL PADA HYDRA MENGGUNAKAN METODE BEDA HINGGA SKEMA EKSPLISIT by Y. Sambono, Zeth Arthur Leleury, Berny Pebo Tomasouw, Dorteus L. Rahakbauw

Subjects: “…finite difference method…”
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High Order Compact Explicit Difference Schemes and Stability Analysis for Two-dimensional Wave Equations by SUN Yang, SONG Linlin, AI Xiaohui

“…In this paper, a high-order compact explicit finite difference scheme is proposed to numerically solve two-dimensional wave equations with initial boundary value problems. …”
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Second-Order Implicit–Explicit Difference Scheme for Pseudoparabolic Equations with Nonlinear Flux by Miglena N. Koleva, Lubin G. Vulkov

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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. …”
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Data assimilation in 2D hyperbolic/parabolic systems using a stabilized explicit finite difference scheme run backward in time by Alfred S. Carasso

“…An artificial example of a coupled system of three nonlinear partial differential equations generalizing 2D thermoelastic vibrations, is used to demonstrate the effectiveness, as well as the limitations, of a non iterative direct procedure in data assimilation. A stabilized explicit finite difference scheme, run backward in time, is used to find initial values, [Formula: see text], that can evolve into a useful approximation to a hypothetical target result [Formula: see text], at some realistic [Formula: see text]. …”
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A Single-Field Finite Difference Time-Domain Method Verified Using a Novel Antenna Design with an Artificial Magnetic Conductor Enhanced Structure by Yongjun Qi, Weibo Liang, Yilan Hu, Liang Zhang, Cheng You, Yuxiang Zhang, Tianrun Yan, Hongxing Zheng

“…The Finite Difference Time-Domain (FDTD) method is a powerful tool for electromagnetic field analysis. …”
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Numerical Solution and Stability Analysis of the Sine-Gordon Equation by Saad Manna, Norjan Juma

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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). …”
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Finite Difference Methods for Option Pricing under Lévy Processes: Wiener-Hopf Factorization Approach by Oleg Kudryavtsev

“…We propose a general approach to the numerical methods based on a finite difference approximation for the generalized Black-Scholes equation. …”
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A novel unified variational finite difference (VFD) solution method for optimal control problems by Amir Norouzzadeh, Nader Nariman-zadeh, Reza Ansari

“…So, the implemented numerical solution is called now as the variational finite difference method. The method of Lagrange multipliers is then utilized for minimization purpose and, as a result, the final set of nonlinear algebraic equations are obtained. …”
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Basal Cut Prediction of a Sugarcane Culm via Numerical Simulations by Alexandre Assis Rezende Santos, Andre Luiz Gonçalves Costa, Ednilton Tavares de Andrade, Fabio Lucio Santos, Ricardo Rodrigues Magalhães

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A stable finite difference scheme for fractional viscoelastic wave propagation in space-time domain by Mohamed Ait ichou, Abdelaaziz Ezziani

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Elastic stability of columns with variable flexural rigidity under arbitrary axial load using the finite difference method by M. Soltani, A. Sistani

“…Between various mathematical techniques adopted to solve the equilibrium equation, the finite difference method, especially in its explicit formulation, requires a minimum of computing stages. …”
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