Solving the 2D Heat Equation
Numerical Solution of 2D Heat Equation
... 5 Then we get: Instead of five-band matrix in BTCS method, here each time step can be obtained in two sweeps. Each sweep can be done by solving a tri-diagonal system of equations. The ADI method is second order ...
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Solving the backward heat equation on the unit sphere
... (Received 26 February 2015; revised 8 January 2016) Abstract We consider an inverse problem for the heat equation on the unit sphere in which the final (current) temperature on the sphere is given, and the ...
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Solving a stochastic heat equation driven by a bi-fractional noise
... Full list of author information is available at the end of the article Abstract In this paper, we consider a stochastic heat equation with multiplicative bi-fractional Brownian sheet. Using the technique of ...
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Two new regularization methods for solving sideways heat equation
... The problem has a long history and has attracted to many authors. In several engineering contexts, it is sometimes necessary to determine the surface temperature and heat flux in a body from a measured temperature ...
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Application of FEM and FDM in solving 2D irregular geometry heat transfer problem
... in solving two dimensional irregular geometry heat transfer ...differential equation such as heat equation that describes the distribution of heat in a given region over ...
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A Multilevel Method for Solving Neutron Kinetics Equations Coupled with the Heat Transfer Equation.
... Chapter 1 Introduction A nuclear reactor core is a sophisticated multiphysics system governed by complex thermo- mechanical processes within the materials present in the core. To perform a successful design and accurate ...
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A High Accuracy Variant of The Iterative Alternating Decomposition Explicit Method for Solving The Heat Equation
... Abstract: We consider three level difference replacements of parabolic equations focusing on the heat equation in two space dimensions. Through a judicious splitting of the approximation, the scheme ...
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The AGEB Algorithm for Solving the Heat Equation in Three Dimensions and Its Parallelization Using PVM
... Abstract. In this paper, a new algorithm in the class of the AGE method based on the Brian variant (AGEB) of the ADI is developed to solve the heat equation in 3 space dimensions. The method is it- erative, ...
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Solving one dimensional heat equation and groundwater flow modeling using finite difference method
... v ABSTRACT This research was conducted to solve one dimensional heat equation and groundwater flow equation using Finite Difference Method. Three Finite Difference methods were chosen to solve ...
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A higher order blended compact difference (BCD) method for solving the general 2D linear second order partial differential equation
... large first derivative terms or anisotropy problems. (ii) We perform a sixth-order compu- tation for the grid points on the boundaries, while Ref. [1] uses the fourth-order scheme, which decreases the accuracy order of ...
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Efficient high-order integral equation methods for the heat equation
... the heat kernel in arbitrary ...1D heat kernel and power ...for solving the boundary value problems of the heat equation in both two and three ...the heat kernel and compress all ...
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2D Heat Equation Code Report
... the heat equation in a 2D- Plate with some fixed initial conditions called "Dirichlet Conditions" to obtain a solution that describes the temperature of each node in space in any time within ...
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A forward-backward SDE from the 2D nonlinear stochastic heat equation
... 5 Replacing a smoothed field with a constant In Section 4, we estimated the effect on the solution of turning off the noise on a given time interval. In this section we seek a further simplification. After an interval of ...
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Equation Solving Principles
... Aug 2510:04 PM 1.1 Introduction to Graphing 1.2 Functions and Graphs 1.3 Linear Functions, Slope, and Applications 1.4 Equations of Lines and Modeling 1.5 Linear Equations, Functio[r] ...
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On skewed grid point iterative method for solving 2D hyperbolic telegraph fractional differential equation
... in solving 2D fractional telegraph ...in solving various types of partial differential equations (PDEs) including two- and three-dimensional hyperbolic telegraph equations ...In solving these ...
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The Wave Equation in 1D and 2D
... Often used as synonym for large destructive waves generated by slides, earthquakes, volcanos, etc. Map of older incidents:[r] ...
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Heat equation examples
... the heat equation we write as a PDE? The temperature function u(x, t) (or u(x, y, t) in two spatial dimensions) is the temperature within an object as a function of both position and ...time. Heat ...
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Solving the Social CRM Equation
... As the General Manager of Sales at a business process outsourcing company said in his interview: “It’s important that organizations not just have an enterprise social application but a[r] ...
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Application of Trial Equation Method for Solving the Getmanou Equation
... This work is licensed under the Creative Commons Attribution International License (CC BY). http://creativecommons.org/licenses/by/4.0/ Abstract Under the travelling wave transformation, some nonlinear partial ...
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Multigrid method based on transformation free high order scheme for solving 2D Helmholtz equation on nonuniform grids
... for solving large-scale sparse linear systems obtained from the discretization of elliptic PDEs [, , ...level, solving the error equation on the coarse grid and adjusting the correction of coarse ...
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