Question Question 1 (1 mark) Attempt 1 Consider the boundary value problem: du+ U=1, 2<c<13 with...
Question 1 (1 mark) Attempt 1 Consider the boundary value problem Q Find the functions g, Φ 1 and Φ 2 so that u-3-al Φ1-a2Φ2 is the approximate quadratic solution that satisfies the essential boundary condition Your answer should consist of three expressions, the first representing the term g, the second representing the term Ф1 and the third representing the term Ф2 All three expressions should be expressed in terms of the independent variable x. Your answers should be expressed...
Question 1 (1 mark) Attempt 1 Consider the boundary value problem1, 2<8 with uç2)-3 and uB)-s Find functions g and фі such that u gtal +1 is a quadratic approximation that satisfies the boundary condos. Your answer should consist of two expressions, the frst representing the term g and the second representing the term ti. Both shouild be expressed in terms of tho independent varatbie Your answers should be expressed as a function of x using the correct syntax For...
Consider the boundary value problem (12")=-45+4 with (2)=5 and u(6)=-1 Find the functions g., and , so that y = 9+Q81+ay, is the approximate quadratic solution that satisfies the essential boundary condition. Your answer should consist of three expressions, the first representing the term g, the second representing the term , and the third representing the term og. All three expressions should be expressed in terms of the independent variable x. Your answers should be expressed as a function of...
thank you for the help :) Question Question 17 (2 marks) Attempt 1 f(t) satisfies the integral equation: f(t)-5 | f(t-u) e-liu H(u) du=12 sgn(t-2) Find the solution of the integral equation using Fourier transforms. Your answer should be expressed as a function of t using the correct syntax f() Skipped Question Question 17 (2 marks) Attempt 1 f(t) satisfies the integral equation: f(t)-5 | f(t-u) e-liu H(u) du=12 sgn(t-2) Find the solution of the integral equation using Fourier transforms....
Question 3 (1 mark) Special Attempt 1 When solving a particular boundary value problem using the approximate solution u(x)=C–1+Q1 (32-40) the residual is R(*)= 3+20–42+Q7 (22+50+1). Use the collocation method with the collocation point x = 2 to find the value of a Your answer should consist of the single (exact) value of Qy. For example -911/203 Qq = Skipped
Please have a clear hand writing :) Question Question 14 (1 mark) Special Attempt 1 Consider the following system of autonomous ordinary differential equations, du Find the Jacobian matrix for the system of equations and determine the stiffness ratio Your answer should consist of two integers representing the stiffness ratio Stiffness ratio: Skipped : Skippecd Question Question 14 (1 mark) Special Attempt 1 Consider the following system of autonomous ordinary differential equations, du Find the Jacobian matrix for the system...
please solve, previous ones all wrong! Question 11 1 mark) Attempt 2 What is the Inverse Fourier transform of F(u)- 10-5? Reflection: F-1[F(-u)]=f(-t) Your answer should be expressed as a function of t using the correct syntax. Inverse F.T. is f(t) Question 12 (T mark) Attempt 2 What is the Inverse Fourier transform of: 7 16+iw-4)2 Reflection: F--) Your answer should be expressed as a function of t using the correct syntax. Inverse F.T. is f(t) Question 13 (2 marks)...
Consider the following boundary value problem: du du dx dx u=-e* sin(x) Discretize the ODE using backward second-order accurate scheme for both derivatives. The second order finite accuracy difference for the derivatives are given by: 2h (3)-1(1,2)-45 (7.1)+31(x) 8 (*)== (4.5) +41 (1.2) -51 (3.1) +2f (x) h?
Find the Inverse Fourier transform of: Your answer should be expressed as a function of t using the correct syntax. Inverse F.T. is f(t) = 143w e-11ιω Question 13 (2 marks) Attempt 1 F(u)=# Find the Inverse Fourier transform of: e-11u Your answer should be expressed as a function of t using the correct syntax. Inverse F.T. is f(t)- Skipped 143w e-11ιω Question 13 (2 marks) Attempt 1 F(u)=# Find the Inverse Fourier transform of: e-11u Your answer should be...
Question 13 (2 marks) Attempt 1 ,2/144-aw Find the Inverse Fourier transform of: Te-v F(u)--3 Your answer should be expressed as a function of t using the correct syntax. Inverse F.T. is f(t)- Skipped a Screen Shot 2019-05-17 at 2.07.40 AM Search Question 14 (2 marks) Attempt 1 Find the inverse Fourier transform of: F(w-5 π w sgn(w) e-Tw Your answer should be expressed as a function of t using the correct syntax. Inverse F.T. is f(t)- Skipped Question 15...