Homework Answers
answer for 1st question is
option 2
remaining options doesn't satisfy boundary conditions
answer for 2 nd question is
" some thing else"
because both the. method are used to solve linear equations and not used for non linear equations
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Question 13 2 pts Which of the following conditions are boundary value problems? Od (0) =...
Solve the following problems subject to the given boundary conditions. Show the formulas for any ...
please
solve #2
Solve the following problems subject to the given boundary conditions. Show the formulas for any arbitrary constants (Ao, An, Bn), but you do not need to actually calculate them tu a(0. t)=0. u(1, t) = 5 u(z,0-82-1 2 0< x<2, t0 u(0, t) = 0, u(2. t) = 0 a(x, 0) 0, tr(r,0) = 0 3 ー+-=-10, 0
Discretization, ODE solving, condition number. Consider the differential equation 5y"(x) - 2y'(x) +10y(x)0 on the interval x E [0,10] with boundary conditions y(0)2 and y (10) 3 we set up a f...
Discretization, ODE solving, condition number. Consider the differential equation 5y"(x) - 2y'(x) +10y(x)0 on the interval x E [0,10] with boundary conditions y(0)2 and y (10) 3 we set up a finite difference scheme as follows. Divide [0,10] into N-10 sub-intervals, i.e. {xo, X1, [0,1,. 10. Denote xi Xo + ih (here, h- 1) and yi E y(x). Approximate the derivatives as follows X10- 2h we have the following equations representing the ODE at each point Xi ,i = 1,...
Question 3: BVP with periodic boundary conditions. Part I: Solve the following boundary value problem (BVP)...
Question 3: BVP with periodic boundary conditions. Part I: Solve the following boundary value problem (BVP) where y(x,t) is defined for 0<x<. You must show all of your work (be sure to explore all possible eigenvalues). агу д?у 4 axat2 Subject to conditions: = y(x,0) = 4 sin 6x ayi at = 0 y(0) = 0 y(T) = 0 Solution: y(x, t) = Do your work on the next page. Part II: Follow up questions. You may answer these questions...
L-8 29 -15 22] 111 4 3 2 1 10. The differential equations of high order: 2 And boundary conditions fo)-0, f' (0)-0, f'(5)-1, g(o)-1.5, g(5)-1 Can be solved using The Shooting-Newton-Raphson a...
L-8 29 -15 22] 111 4 3 2 1 10. The differential equations of high order: 2 And boundary conditions fo)-0, f' (0)-0, f'(5)-1, g(o)-1.5, g(5)-1 Can be solved using The Shooting-Newton-Raphson and multivariable Runge-Kutta for a value of (y-1.7), re write the system of equations in the canonical form (i.e. as a set of ODES of first order and its boundary conditions). It is not required to solve the equations, just list the system of first order differential equations...
Homework4 Solve the following problems in form of report using Microsoft word format. Three students per...
Homework4 Solve the following problems in form of report using Microsoft word format. Three students per report. The names and student no. are to be declared. Due date Mo. 26.03.2020 12:00 PM Solve the following system of linear equations: [ 0.8 -0.4 011 (41 -0.4 0.8 -0.41*2} = 25 0 -0.4 0.8 |(x3) (105) (1) Using the Gauss-Seidel iterative method until the percent relative error falls below Ea < 5% (2) With Gauss-Seidel using overrelaxation (1 = 1.2)until En 5%...
Question 1 5 pts What is the order of the DE? Is the DE linear or...
Question 1 5 pts What is the order of the DE? Is the DE linear or nonlinear? 3 54' - (tan x)y= Vx+ +1 (7) 5.22 3rd order; nonlinear 2nd order; nonlinear 2nd order; linear 3rd order; linear LUCSLIUI 5 pts Is the function y=2e-32 - 4e5x a solution to the DE? Y' - 2y - 15y = 0 O No O Yes Question 3 5 pts Solve the separable DE. dy 3.cy + 2y - 15x - 10 dac...
Solve the heat equation Ut = Uxx + Uyy on a square 0 <= x <= 2, 0<= y<= 2 with the following boundary and initial conditions 2. Solve the heat equation boundary conditions uvw on a square...
Solve the heat equation Ut = Uxx
+ Uyy on a square 0 <= x <= 2, 0<= y<= 2 with the
following boundary and initial conditions
2. Solve the heat equation boundary conditions uvw on a square O S r s 2, 0 S vS 2 with the (note the mix of u and tu) and with initial condition 0 otherwise Present your answer as a double trigonometric sum.
2. Solve the heat equation boundary conditions uvw on a...
Question about MATLAB boundary value problem. How can I solve the following problems? I would appreciate...
Question about MATLAB boundary value problem.
How can I solve the following problems? I would appreciate if
you could briefly explain how you get the answer. (In the second
problem, the selected answer is not correct.)
Given the differential equation: u" + 2u' - xu = 0 subject to the boundary conditions: du/dx (x = 0) = 4 u(x = 5) = 10 This is to be solved using a second-order accurate in space method with x = 0.1. Which...
Question 24 1 pts Using the shooting method for the following second-order differential equation governing the...
Question 24 1 pts Using the shooting method for the following second-order differential equation governing the boundary value problem G.E: + EA (x) +u = L (x) € (0,L] B.C's: u () = 0 and EA (2) de Iz-L=F, the trapezoidal method is used to converts the problem into coupled integral equations solved at the quadrature points. None of the above. finite differences are used to convert the governing equation and boundary conditions of the problem into an analog set...
Value for transmissivity is 185，location is B，flow rate is 20 Question 1: No-flow boundary conditions are implemented by: Question 2: Flow Calculation with no abstraction or rech...
Value for transmissivity is 185，location is B，flow rate is
20
Question 1: No-flow boundary conditions are implemented by: Question 2: Flow Calculation with no abstraction or recharge m2/day m/day Condition 1 flow is Condition 2 flow is Question 3: Recharge or abstraction at a node is calculated by: Question 4: Water Level and Flows for Condition 1 are: Water level at pumping/recharge node Flow accross boundary AB Flow accross boundary CD ..,..) is m3/dayFlow accross boundary BC m/dayFlow accross boundary...
please
solve #2
Solve the following problems subject to the given boundary conditions. Show the formulas for any arbitrary constants (Ao, An, Bn), but you do not need to actually calculate them tu a(0. t)=0. u(1, t) = 5 u(z,0-82-1 2 0< x<2, t0 u(0, t) = 0, u(2. t) = 0 a(x, 0) 0, tr(r,0) = 0 3 ー+-=-10, 0
Discretization, ODE solving, condition number. Consider the differential equation 5y"(x) - 2y'(x) +10y(x)0 on the interval x E [0,10] with boundary conditions y(0)2 and y (10) 3 we set up a finite difference scheme as follows. Divide [0,10] into N-10 sub-intervals, i.e. {xo, X1, [0,1,. 10. Denote xi Xo + ih (here, h- 1) and yi E y(x). Approximate the derivatives as follows X10- 2h we have the following equations representing the ODE at each point Xi ,i = 1,...
Question 3: BVP with periodic boundary conditions. Part I: Solve the following boundary value problem (BVP) where y(x,t) is defined for 0<x<. You must show all of your work (be sure to explore all possible eigenvalues). агу д?у 4 axat2 Subject to conditions: = y(x,0) = 4 sin 6x ayi at = 0 y(0) = 0 y(T) = 0 Solution: y(x, t) = Do your work on the next page. Part II: Follow up questions. You may answer these questions...
L-8 29 -15 22] 111 4 3 2 1 10. The differential equations of high order: 2 And boundary conditions fo)-0, f' (0)-0, f'(5)-1, g(o)-1.5, g(5)-1 Can be solved using The Shooting-Newton-Raphson and multivariable Runge-Kutta for a value of (y-1.7), re write the system of equations in the canonical form (i.e. as a set of ODES of first order and its boundary conditions). It is not required to solve the equations, just list the system of first order differential equations...
Homework4 Solve the following problems in form of report using Microsoft word format. Three students per report. The names and student no. are to be declared. Due date Mo. 26.03.2020 12:00 PM Solve the following system of linear equations: [ 0.8 -0.4 011 (41 -0.4 0.8 -0.41*2} = 25 0 -0.4 0.8 |(x3) (105) (1) Using the Gauss-Seidel iterative method until the percent relative error falls below Ea < 5% (2) With Gauss-Seidel using overrelaxation (1 = 1.2)until En 5%...
Question 1 5 pts What is the order of the DE? Is the DE linear or nonlinear? 3 54' - (tan x)y= Vx+ +1 (7) 5.22 3rd order; nonlinear 2nd order; nonlinear 2nd order; linear 3rd order; linear LUCSLIUI 5 pts Is the function y=2e-32 - 4e5x a solution to the DE? Y' - 2y - 15y = 0 O No O Yes Question 3 5 pts Solve the separable DE. dy 3.cy + 2y - 15x - 10 dac...
Solve the heat equation Ut = Uxx
+ Uyy on a square 0 <= x <= 2, 0<= y<= 2 with the
following boundary and initial conditions
2. Solve the heat equation boundary conditions uvw on a square O S r s 2, 0 S vS 2 with the (note the mix of u and tu) and with initial condition 0 otherwise Present your answer as a double trigonometric sum.
2. Solve the heat equation boundary conditions uvw on a...
Question about MATLAB boundary value problem.
How can I solve the following problems? I would appreciate if
you could briefly explain how you get the answer. (In the second
problem, the selected answer is not correct.)
Given the differential equation: u" + 2u' - xu = 0 subject to the boundary conditions: du/dx (x = 0) = 4 u(x = 5) = 10 This is to be solved using a second-order accurate in space method with x = 0.1. Which...
Question 24 1 pts Using the shooting method for the following second-order differential equation governing the boundary value problem G.E: + EA (x) +u = L (x) € (0,L] B.C's: u () = 0 and EA (2) de Iz-L=F, the trapezoidal method is used to converts the problem into coupled integral equations solved at the quadrature points. None of the above. finite differences are used to convert the governing equation and boundary conditions of the problem into an analog set...
Value for transmissivity is 185，location is B，flow rate is
20
Question 1: No-flow boundary conditions are implemented by: Question 2: Flow Calculation with no abstraction or recharge m2/day m/day Condition 1 flow is Condition 2 flow is Question 3: Recharge or abstraction at a node is calculated by: Question 4: Water Level and Flows for Condition 1 are: Water level at pumping/recharge node Flow accross boundary AB Flow accross boundary CD ..,..) is m3/dayFlow accross boundary BC m/dayFlow accross boundary...
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