EBK NUMERICAL METHODS FOR ENGINEERS
7th Edition
ISBN: 9780100254145
Author: Chapra
Publisher: YUZU
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Chapter 25, Problem 9P
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Chapter 25 Solutions
EBK NUMERICAL METHODS FOR ENGINEERS
Ch. 25 - Solve the following initial value problem over the...Ch. 25 - Solve the following problem over the interval from...Ch. 25 - Use the (a) Euler and (b) Heun (without iteration)...Ch. 25 - Solve the following problem with the fourth-order...Ch. 25 - Solve from t=0to3withh=0.1 using (a) Heun (without...Ch. 25 - 25.6 Solve the following problem numerically from...Ch. 25 - Use (a) Eulers and (b) the fourth-order RK method...Ch. 25 - 25.8 Compute the first step of Example 25.14...Ch. 25 -
25.9 If, determine whether step size adjustment...Ch. 25 - Use the RK-Fehlberg approach to perform the same...
Ch. 25 -
25.11 Write a computer program based on Fig....Ch. 25 - Test the program you developed in Prob. 25.11 by...Ch. 25 -
25.13 Develop a user-friendly program for the...Ch. 25 - Develop a user-friendly computer program for the...Ch. 25 - Develop a user-friendly computer program for...Ch. 25 - 25.16 The motion of a damped spring-mass system...Ch. 25 - If water is drained from a vertical cylindrical...Ch. 25 - The following is an initial value, second-order...Ch. 25 - Assuming that drag is proportional to the square...Ch. 25 - A spherical tank has a circular orifice in its...Ch. 25 - The logistic model is used to simulate population...Ch. 25 - 25.22 Suppose that a projectile is launched...Ch. 25 - The following function exhibits both flat and...Ch. 25 - 25.24 Given the initial conditions,, solve the...Ch. 25 - Use the following differential equations to...Ch. 25 - 25.26 Three linked bungee jumpers are depicted in...
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- Ex.15: Compute the temperature distribution in a rod that is heated at both ends as depicted in the following figure. Use Gauss- Seidel method given that:- T₁+2T₁+T₁_₁ = 0 where T, represents the temperature at any nodal point. Perform your calculation correct to five decimal places, and use (T = 0) as an initial guess. To = -10 °C T₁ x T₂ T3 Ts = 10 °Carrow_forward3. Using the trial function uh(x) = a sin(x) and weighting function wh(x) = b sin(x) find an approximate solution to the following boundary value problems by determining the value of coefficient a. For each one, also find the exact solution using Matlab and plot the exact and approximate solutions. (One point each for: (i) finding a, (ii) finding the exact solution, and (iii) plotting the solution) a. (U₁xx - 2 = 0 u(0) = 0 u(1) = 0 b. Modify the trial function and find an approximation for the following boundary value problem. (Hint: you will need to add an extra term to the function to make it satisfy the boundary conditions.) (U₁xx - 2 = 0 u(0) = 1 u(1) = 0arrow_forwardFOLLOW THESE STEPS FOR UPVOTE Given Required Diagram Solution Conclusion Do not round off while solving. Question: Consider the figure below. Each tank has a volume of 10 ft³. Conditions on each tank are tabulated as follow: Tank No. 1 2 3 TANK 1 Content Methane Propane Hexane Pressure 70 psia 21 psia 43 psia TANK 1 Temperature 160°F 124°F 110°F TANK 1 k 1.32 1.24 1.39 All separation valves have been opened at the same time. Determine the resulting temperature in °F at equilibrium.arrow_forward
- 3. Using the trial function u¹(x) = a sin(x) and weighting function w¹(x) = b sin(x) find an approximate solution to the following boundary value problems by determining the value of coefficient a. For each one, also find the exact solution using Matlab and plot the exact and approximate solutions. (One point each for: (i) finding a, (ii) finding the exact solution, and (iii) plotting the solution) a. (U₁xx -2 = 0 u(0) = 0 u(1) = 0 b. Modify the trial function and find an approximation for the following boundary value problem. (Hint: you will need to add an extra term to the function to make it satisfy the boundary conditions.) (U₁xx-2 = 0 u(0) = 1 u(1) = 0arrow_forwardConsider dx the initial value problem given below. = 3+tsin (tx), x(0)=0 dt Use the improved Euler's method with tolerance to approximate the solution to this initial value problem at t = 0.7. For a tolerance of ε = 0.004, use a stopping procedure based on absolute error. The approximate solution is x(0.7). (Round to three decimal places as needed.) (...)arrow_forwardplease solve it in clear note: The fifth section solved it by using MATLAB i need all qusestion solved 1-9 For the mass spring damper system shown in the figure, assume that m = 0.25 kg, k= 2500 N/m, and c = 10 N.s/m. The values of force measured at 0.05-second intervals in one cycle are given below. 0.05 0.10 0.15 0.20 0.25 0.30 0.35 0.40 time F(t) time 12 14 44 19 33 34 12 22 0.60 25 0.45 0.50 0.55 0.65 0.70 0.75 0.80 0.85 Force 32 11 18 30 49 40 35 21 time 0.90 0.95 F(t) 11 m +x F(1) 1- Find the equation of motion. 2- Find the homogenous solution. 3- If we excite the system with initial displacement and velocity as 5 mm and 0.2 m/s respectively, plot the response of the free vibration system. 4- Use the generated plot in part 3 to verify the value of the damping constant, c. 5- Find the steady state solution (only particular solution) for the forced vibration system. Take number of terms in your Fourier series terms from this range [ 30 – 55). 6- Plot the force in the table, and the…arrow_forward
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