Finite-difference method for parameterized singularly perturbed problem
We study uniform finite-difference method for solving first-order singularly perturbed boundary value problem (BVP) depending on a parameter. Uniform error estimates in the discrete maximum norm are obtained for the numerical solution.
G. M. Amiraliyev+2 more
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Finite difference solution of plate bending using Wolfram Mathematica
This article describes the procedure of calculating deflection of rectangular plate using a finite difference method, programmed in Wolfram Mathematica. Homogenous rectangular plate under uniform pressure is simulated for this paper. In the introduction,
Katarina Pisačić+2 more
doaj +1 more source
A Finite Difference Method for the One-dimensional Variational Boussinesq Equations [PDF]
The variational Boussinesq equations derived by Klopman et. al. (2005) con-verse mass, momentum and positive-definite energy. Moreover, they were shown to have significantly improved frequency dispersion characteristics, making it suitable for wave ...
Groesen, E. V. (E), Suryanto, A. (A)
core
A Two-Level Method for Mimetic Finite Difference Discretizations of Elliptic Problems [PDF]
We propose and analyze a two-level method for mimetic finite difference approximations of second order elliptic boundary value problems. We prove that the two-level algorithm is uniformly convergent, i.e., the number of iterations needed to achieve ...
Antonietti, Paola F.+2 more
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A Q‐Learning Algorithm to Solve the Two‐Player Zero‐Sum Game Problem for Nonlinear Systems
A Q‐learning algorithm to solve the two‐player zero‐sum game problem for nonlinear systems. ABSTRACT This paper deals with the two‐player zero‐sum game problem, which is a bounded L2$$ {L}_2 $$‐gain robust control problem. Finding an analytical solution to the complex Hamilton‐Jacobi‐Issacs (HJI) equation is a challenging task.
Afreen Islam+2 more
wiley +1 more source
Finite Difference Method for Solving Partial Integro-Differential Equations
Introduction In this paper, we have introduced a new method for solving a class of the partial integro-differential equation with the singular kernel by using the finite difference method.
Majid Erfanian, Hamed Zeidabadi
doaj
Finite Difference–Collocation Method for the Generalized Fractional Diffusion Equation
In this paper, an approximate method combining the finite difference and collocation methods is studied to solve the generalized fractional diffusion equation (GFDE).
Sandeep Kumar+4 more
doaj +1 more source
We present adaptive finite difference ENO/WENO methods by adopting infinitely smooth radial basis functions (RBFs). This is a direct extension of the non-polynomial finite volume ENO/WENO method proposed by authors in \cite{GuoJung} to the finite ...
Guo, Jingyang, Jung, Jae-Hun
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Modelling metallic discontinuities with the non-orthogonal finite difference time domain method [PDF]
Numerical electromagnetic models, such as the finite difference time domain (FDTD) method, have many applications. The authors focus on the non-orthogonal FDTD method, which offers an improved geometric flexibility compared to other standard techniques ...
C.J. Railton+7 more
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Performance Triggered Adaptive Model Reduction for Soil Moisture Estimation in Precision Irrigation
ABSTRACT Accurate soil moisture information is essential for precise irrigation to enhance water use efficiency. Estimating soil moisture based on limited soil moisture sensors is especially critical for obtaining comprehensive soil moisture information when dealing with large‐scale agricultural fields.
Sarupa Debnath+4 more
wiley +1 more source