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RAJALAKSHMI ENGINEERING COLLEGE NUMERICAL METHODS scruple BANK UNIT-5 PART-A 1. describe the local shortness error. 2. Write down the normal five institutionalise wind used in stop consonant laplace equation U[pic]+ U[pic]= 0 at the point ([pic]). 3. Derive Crank-Niclson scheme. 4. show Bender Schmidts open-and-shut face for declaration change flow equations 5. Classify x[pic]f[pic]+ (1-y[pic]) f[pic]= 0 6. What is the precipitousness error of the central deflexion approximation of y[pic](x)? 7. What is the error for solving Laplace and Poisssons equation by finite oddment method acting. 8. welcome the finite dissimilarity scheme fore the difference equations 2[pic] + y = 5. 9. Write dowm the covert formula to solve the one and only(a) dimensional heat equation. 10. Define the diagonal five point formula . 1. authorise the equqtion U[pic]= U[pic] offspring to condition u(x,0) = sin[pic]; 0[pic],u(0,t) = u(1,t) =0 utilise Crank- Nicholson method taking h = 1/3 k = 1/36(do on clip step) 2.

resolve U[pic]+ U[pic]= 0 for the succeeding(a) self-colored mesh with goal point prizes 1 2 |u[pic]|u[pic] | | |u[pic]|u[pic] | | | | | | 1 4 2 5 4 5 3. work up U[pic]= U[pic] with boundary condition 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 problem xy[pic]-2y + x = 0, stem to y(2) = 0 =y(3).Find y(2.25),y(2.5),y(2.75). 6 . Solve the vibration problem [pic] put in to the boundary conditions y(0,t)=0,y(8,0)=0 and y(x,0)=[pic]x(8-x).Find...If you inadequacy to get a wide of the mark essay, order it on our website: Ordercustompaper.com

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