The approximate solution of Laplace’s equation at the interior points of the region u ( 0 , y ) = 108 y 2 ( 1 − y ) , u ( 1 , y ) = 0 , 0 < y < 1 u ( x , 0 ) = 0 , u ( x , 1 ) = 0 , 0 < x < 1 .

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Answer 1

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Chapter 15.1, Problem 4E

To determine

The approximate solution of Laplace’s equation at the interior points of the region u(0,y)=108y2(1−y), u(1,y)=0, 0<y<1u(x,0)=0, u(x,1)=0, 0<x<1.

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Answer 2

Question

Chapter 15.1, Problem 4E

To determine

The approximate solution of Laplace’s equation at the interior points of the region u(0,y)=108y2(1−y), u(1,y)=0, 0<y<1u(x,0)=0, u(x,1)=0, 0<x<1.

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Answer 3

Question

Chapter 15.1, Problem 4E

To determine

The approximate solution of Laplace’s equation at the interior points of the region u(0,y)=108y2(1−y), u(1,y)=0, 0<y<1u(x,0)=0, u(x,1)=0, 0<x<1.

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Answer 4

Question

Chapter 15.1, Problem 4E

To determine

The approximate solution of Laplace’s equation at the interior points of the region u(0,y)=108y2(1−y), u(1,y)=0, 0<y<1u(x,0)=0, u(x,1)=0, 0<x<1.

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Answer 5

Chapter 15.1, Problem 4E

To determine

The approximate solution of Laplace’s equation at the interior points of the region u(0,y)=108y2(1−y), u(1,y)=0, 0<y<1u(x,0)=0, u(x,1)=0, 0<x<1.

Answer 6

Chapter 15.1, Problem 4E

To determine

The approximate solution of Laplace’s equation at the interior points of the region u(0,y)=108y2(1−y), u(1,y)=0, 0<y<1u(x,0)=0, u(x,1)=0, 0<x<1.

Answer 7

Chapter 15.1, Problem 4E

To determine

The approximate solution of Laplace’s equation at the interior points of the region u(0,y)=108y2(1−y), u(1,y)=0, 0<y<1u(x,0)=0, u(x,1)=0, 0<x<1.

Answer 8

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Answer 9

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Answer 10

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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 ) = 108 y 2 ( 1 − y ) , u ( 1 , y ) = 0 , 0 < y < 1 u ( x , 0 ) = 0 , u ( x , 1 ) = 0 , 0 < x < 1 .

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

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The approximate solution of Laplace’s equation at the interior points of the region u(0,y)=108y2(1−y), u(1,y)=0, 0<y<1u(x,0)=0, u(x,1)=0, 0<x<1.

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Chapter 15 Solutions

The approximate solution of Laplace’s equation at the interior points of the region u ( 0 , y ) = 108 y 2 ( 1 − y ) , u ( 1 , y ) = 0 , 0 &lt; y &lt; 1 u ( x , 0 ) = 0 , u ( x , 1 ) = 0 , 0 &lt; x &lt; 1 .

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

Videos

The approximate solution of Laplace’s equation at the interior points of the region u(0,y)=108y2(1−y), u(1,y)=0, 0<y<1u(x,0)=0, u(x,1)=0, 0<x<1.

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Chapter 15 Solutions

The approximate solution of Laplace’s equation at the interior points of the region u ( 0 , y ) = 108 y 2 ( 1 − y ) , u ( 1 , y ) = 0 , 0 < y < 1 u ( x , 0 ) = 0 , u ( x , 1 ) = 0 , 0 < x < 1 .