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RAJALAKSHMI ENGINEERING COLLEGE NUMERICAL METHODS QUESTION BANK UNIT-5 PART-A 1. Define the topical anesthetic brusqueness error. 2. Write down the standard five bloom construction used in closure laplace equation U[pic]+ U[pic]= 0 at the topographic point ([pic]). 3. Derive Crank-Niclson abstract. 4. State Bender Schmidts obvious face for solving heat flow equations 5. fork x[pic]f[pic]+ (1-y[pic]) f[pic]= 0 6. What is the curtness error of the central difference approach of y[pic](x)? 7. What is the error for solving Laplace and Poisssons equation by finite difference method acting. 8. welcome the finite difference scheme fore the difference equations 2[pic] + y = 5. 9. Write dowm the implicit shape to solve the one dimensional heat equation. 10. Define the byzant five point formula . 1. puzzle out the equqtion U[pic]= U[pic] subject to rail u(x,0) = sin[pic]; 0[pic],u(0,t) = u(1,t) =0 using Crank- Nicholson method taking h = 1/3 k = 1/36(do on time step) 2.

Solve U[pic]+ U[pic]= 0 for the following self-colored mesh with terminal point values 1 2 |u[pic]|u[pic] | | |u[pic]|u[pic] | | | | | | 1 4 2 5 4 5 3. Solve U[pic]= U[pic] with bound! ary peg down u(0,t) = u(4,t) and the initial condition u[pic](x,0) = 0 , u(x,0)=x(4-x) taking h =1, k = ½ (solve one period) 4. Solve xy[pic]+ y = 0 , y(1) =1,y(2) = 2, h = 0.25 by finite difference method. 5. Solve the boundary value worry xy[pic]-2y + x = 0, subject to y(2) = 0 =y(3).Find y(2.25),y(2.5),y(2.75). 6 . Solve the shaking problem [pic] subject to the boundary conditions y(0,t)=0,y(8,0)=0 and y(x,0)=[pic]x(8-x).Find...If you want to define a full essay, order it on our website: BestEssayCheap.com

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