The approximate solution of Laplace’s equation at the interior points of the region u ( 0 , y ) = 0 , u ( 2 , y ) = 0 , 0 < y < 1 u ( x , 0 ) = 100 , u ( x , 1 ) = 0 , 0 < x < 2 .

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Answer 1

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Chapter 15.1, Problem 2E

To determine

The approximate solution of Laplace’s equation at the interior points of the region u(0,y)=0, u(2,y)=0, 0<y<1u(x,0)=100, u(x,1)=0, 0<x<2.

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Answer 2

Question

Chapter 15.1, Problem 2E

To determine

The approximate solution of Laplace’s equation at the interior points of the region u(0,y)=0, u(2,y)=0, 0<y<1u(x,0)=100, u(x,1)=0, 0<x<2.

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Answer 3

Question

Chapter 15.1, Problem 2E

To determine

The approximate solution of Laplace’s equation at the interior points of the region u(0,y)=0, u(2,y)=0, 0<y<1u(x,0)=100, u(x,1)=0, 0<x<2.

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Answer 4

Question

Chapter 15.1, Problem 2E

To determine

The approximate solution of Laplace’s equation at the interior points of the region u(0,y)=0, u(2,y)=0, 0<y<1u(x,0)=100, u(x,1)=0, 0<x<2.

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Answer 5

Chapter 15.1, Problem 2E

To determine

The approximate solution of Laplace’s equation at the interior points of the region u(0,y)=0, u(2,y)=0, 0<y<1u(x,0)=100, u(x,1)=0, 0<x<2.

Answer 6

Chapter 15.1, Problem 2E

To determine

The approximate solution of Laplace’s equation at the interior points of the region u(0,y)=0, u(2,y)=0, 0<y<1u(x,0)=100, u(x,1)=0, 0<x<2.

Answer 7

Chapter 15.1, Problem 2E

To determine

The approximate solution of Laplace’s equation at the interior points of the region u(0,y)=0, u(2,y)=0, 0<y<1u(x,0)=100, u(x,1)=0, 0<x<2.

Answer 8

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Answer 9

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Answer 11

Ch. 15.1 - In Problems 14 use (5) to approximate the solution...Ch. 15.1 - Prob. 2E Ch. 15.1 - Prob. 3E Ch. 15.1 - Prob. 4E Ch. 15.1 - In Problems 5 and 6 use (6) and Gauss-Seidel...Ch. 15.1 - In Problems 5 and 6 use (6) and Gauss-Seidel...Ch. 15.1 - (a) In Problem 12 of Exercises 12.6 you solved a...Ch. 15.1 - Use the result in part (a) of Problem 7 to...Ch. 15 - Consider the boundary-value problem...Ch. 15 - Solve Problem 1 using mesh size . Use Gauss-Seidel...

The approximate solution of Laplace’s equation at the interior points of the region u ( 0 , y ) = 0 , u ( 2 , y ) = 0 , 0 < y < 1 u ( x , 0 ) = 100 , u ( x , 1 ) = 0 , 0 < x < 2 .

Solution Summary: The author describes the five-point approximation of Laplace's equation at the interior points of the given region.

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The approximate solution of Laplace’s equation at the interior points of the region u(0,y)=0, u(2,y)=0, 0<y<1u(x,0)=100, u(x,1)=0, 0<x<2.

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Chapter 15 Solutions

The approximate solution of Laplace’s equation at the interior points of the region u ( 0 , y ) = 0 , u ( 2 , y ) = 0 , 0 &lt; y &lt; 1 u ( x , 0 ) = 100 , u ( x , 1 ) = 0 , 0 &lt; x &lt; 2 .

Solution Summary: The author describes the five-point approximation of Laplace's equation at the interior points of the given region.

Videos

The approximate solution of Laplace’s equation at the interior points of the region u(0,y)=0, u(2,y)=0, 0<y<1u(x,0)=100, u(x,1)=0, 0<x<2.

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Chapter 15 Solutions

The approximate solution of Laplace’s equation at the interior points of the region u ( 0 , y ) = 0 , u ( 2 , y ) = 0 , 0 < y < 1 u ( x , 0 ) = 100 , u ( x , 1 ) = 0 , 0 < x < 2 .