A plate of dimension 18cm x 18cm is subjected to temperatures as follo | Numerical Method 2077

Numerical Method20775 marksNumerical: Laplace equation interior nodesLaplacian equation and Poisson's equation

A plate of dimension 18cm x 18cm is subjected to temperatures as follows: left side at $100^\circ C$ , right side at $200^\circ C$ . Upper part at $50^\circ C$ , and lower at $150^\circ C$ . If square grid length of 6cm x 6cm is assumed, what will be the temperature at the interior nodes? [5]

A plate of dimension 18cm x 18cm is subjected to temperatures as follows: left side at $100^\circ C$, right side at $200^\circ C$. Upper part at $50^\circ C$, and lower at $150^\circ C$. If square grid length of 6cm x 6cm is assumed, what will be the temperature at the interior nodes? [5]

Plate dimension: $18 \text{ cm} \times 18 \text{ cm}$ - Grid length: $6 \text{ cm} \times 6 \text{ cm}$ - Left boundary: $100^\circ C$ - Right boundary: $200^\circ C$ - Upper (top) boundary: $50^\circ C$ - Lower (bottom) boundary: $150^\circ C$ Grid divisions: $18/6 = 3$ divisions per side, giv...

Plate dimension: $18 \text{ cm} \times 18 \text{ cm}$ - Grid length: $6 \text{ cm} \times 6 \text{ cm}$ - Left boundary: $100^\circ C$ - Right boundary: $200^\circ C$ - Upper (top) boundary: $50^\circ C$ - Lower (bottom) boundary: $150^\circ C$ Grid divisions: $18/6 = 3$ divisions per side, giv...

← PreviousAll questions Next question →

Up nextHow boundary value problems differs from initial value problems? Discuss shooting method f

A plate of dimension 18cm x 18cm is subjected to temperatures as follows: left side at 100circ C, right side at 200circ C. Upper part at 50circ C, and lower at 150circ C. If square grid length of 6cm x 6cm is assumed, what will be the temperature at the interior nodes?