Abstract: In this paper, we investigate linear partial differential equations with fuzzy source function, and with fuzzy initial and boundary conditions. Usually, researchers consider solutions of ...
SIAM Journal on Applied Mathematics, Vol. 22, No. 4 (Jun., 1972), pp. 629-647 (19 pages) The two-time perturbation procedure is applied to a class of inhomogeneous initial boundary value problems for ...
Drichlet conditions specify the values of the dependent variables of the boundary points. Neumann conditions specify the values of the normal gradients of the boundary. Robin conditions defines a ...
With the product of trignonometric and exponential functions, closed-form solutions for the homogeneous heat equation, advection-diffusion equation, and homogeneous wave equation in 1D, 2D, and 3D are ...
1 Mathematics Department, Science Faculty, Karabuk University, Karabük, Türkiye. 2 Faculty of Science Department of Mathematics, Karabuk University, Karabük ...
This project aims to solve Partial Differential Equations (PDEs) using neural networks. It is particularly focused on boundary value problems like the Dirichlet problem on geometric domains. The ...
Abstract: Initial boundary-value problem for the homogeneous wave equation with dynamic boundary condition is considered in three-dimensional Lipschitz domain. The Kirchhoff's formula is used to ...
Boundary value problems for nonlinear partial differential equations form a cornerstone of modern mathematical analysis, bridging theoretical advancements and practical real-world applications. These ...
A new boundary-value technique is proposed for the treatment of initial-boundary-value problems for linear and mildly non-linear wave equations. Several illustrative examples are offered to ...
The Annals of Applied Probability, Vol. 28, No. 3 (June 2018), pp. 1943-1976 (34 pages) The initial-boundary value problem for the heat equation is solved by using an algorithm based on a random walk ...
ABSTRACT: The Complex Variable Boundary Element Method (CVBEM) procedure is extended to modeling applications of the two-dimensional linear diffusion partial differential equation (PDE) on a ...
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