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Question: Solve the following initial boundary value problem using an explicit finite ƏT ат difference method Ət 0x² Given, T = sinTx when t=0, 0≤x≤1. T=0 at x=0&x=1 fort >0. Hence examine the accuracy of the numerical solution t = 0.006 with its analytical solution. 2 0≤x≤1.

Question: Solve the following initial boundary value problem using an explicit finite ƏT ат difference method Ət 0x² Given, T = sinTx when t=0, 0≤x≤1. T=0 at x=0&x=1 fort >0. Hence examine the accuracy of the numerical solution t = 0.006 with its analytical solution. 2 0≤x≤1.

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.5: Iterative Methods For Solving Linear Systems
Problem 21EQ
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Question: Solve the following initial boundary value problem using an explicit finite ƏT a²T difference method Ət əx² Given, T sinTx when t=0, 0≤x≤1. T=0 at x=0&x=1 fort>0. Hence examine the accuracy of the numerical solution t=0.006 with its analytical solution. 9 0≤x≤1.
Transcribed Image Text:Question: Solve the following initial boundary value problem using an explicit finite ƏT a²T difference method Ət əx² Given, T sinTx when t=0, 0≤x≤1. T=0 at x=0&x=1 fort>0. Hence examine the accuracy of the numerical solution t=0.006 with its analytical solution. 9 0≤x≤1.
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