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Question: The following partial differential equation 0² U = a dx². ди Ət Find the finite difference approximation equation and write the computational molecule on the above differential equation for the following discretization schemes. au at 201 -U₁₁j+2 +4U₁, j+1 −3U₁₁) U₁,j, 2At = Ui-1, j+2 −2Ui, j+2 +Ui+l₁j+2 (Ax)² course involved: numerical method

Question: The following partial differential equation 0² U = a dx². ди Ət Find the finite difference approximation equation and write the computational molecule on the above differential equation for the following discretization schemes. au at 201 -U₁₁j+2 +4U₁, j+1 −3U₁₁) U₁,j, 2At = Ui-1, j+2 −2Ui, j+2 +Ui+l₁j+2 (Ax)² course involved: numerical method

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question: The following partial differential equation a²U əx². ди Ət = α Find the finite difference approximation equation and write the computational molecule on the above differential equation for the following discretization schemes. au _−U¡‚j+2 +4Ui, j+1−3U¡‚j‚ at 2At 32-47/7 = = Ui-1, j+2-2U₁,j+2 +Ui+l₁j+2 (Ax)² course involved: numerical method
Transcribed Image Text:Question: The following partial differential equation a²U əx². ди Ət = α Find the finite difference approximation equation and write the computational molecule on the above differential equation for the following discretization schemes. au _−U¡‚j+2 +4Ui, j+1−3U¡‚j‚ at 2At 32-47/7 = = Ui-1, j+2-2U₁,j+2 +Ui+l₁j+2 (Ax)² course involved: numerical method
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