Derive implicitly the three-step and four-step Adams-Moulton methods and the three-step Adams-Bashforth method.
Derive implicitly the three-step and four-step Adams-Moulton methods and the three-step Adams-Bashforth method.
Homework Answers
Adams-Bashforth three-step explicit method
The order of the local truncation for the Adams-Bashforth
three-step explicit method is,
therefore, τ (h) = O(h³)
Add Answer to:
Derive implicitly the three-step and four-step Adams-Moulton
methods and the three-step Adams-Bashforth method.
3. (15 points) Derive the Adams-Moulton Two-Step method and its local truncation error by using an appropriate form of an interpolating polynomial. 3. (15 points) Derive the Adams-Moulton Tw...
3. (15 points) Derive the Adams-Moulton Two-Step method and its local truncation error by using an appropriate form of an interpolating polynomial.
3. (15 points) Derive the Adams-Moulton Two-Step method and its local truncation error by using an appropriate form of an interpolating polynomial.
2. Derive the 2nd Adams-Moulton scheme dY for the ODE d f(e,Y).
2. Derive the 2nd Adams-Moulton scheme dY for the ODE d f(e,Y).
2. Derive the 2nd Adams-Moulton scheme dY for the ODE d f(e,Y).
Question 1 Use Adam-Bashforth-Moulton two-step explicit and implicit methods to approximate y(2.4) for the following differential...
Question 1 Use Adam-Bashforth-Moulton two-step explicit and
implicit methods to approximate y(2.4) for the following
differential equation with y(2)=14.7781 and y(2.2)=19.855 USE FOUR
DECIMAL DIGIT ROUNDING.
-y-y/x=0
A higher order Adams-Bashforth method is given by 4(a) A higher order Adams-Bashforth method is given by n++5f(n-2,xn-2...
A higher order Adams-Bashforth method is given by
4(a) A higher order Adams-Bashforth method is given by n++5f(n-2,xn-2) -16f(In-1,xn-1) +23f(n, 12 Determined whether the root condition is satisfied for this Adams-Bashforth method. You may assume that the polynomial ρ(r) for the general multistep method j=0 is given by p(r)- rP+1 ajr' j =0 (b) Given that the Adams-Bashforth method given in part (a) satisfies the consistency condition, is it stable? Is it convergent? Is it strongly stable? Explain your answers...
1. Use all the Adams-Bashforth Fourth Step Explicit Method to approximate the solutions to the follow-...
1. Use all the Adams-Bashforth Fourth Step Explicit Method to approximate the solutions to the follow- ing initial-value problems. In each case, use exact starting values and compare the results to the actual values. V = 1+ ( - ), 2 st S3, y(2) = 1, h=0.2 and compare the solution with the exact solution: y(t) = ++
QUESTION Numerical integration method 1) Newton-Cotes Rules 2) Gauss Legendre Rules 3) Euler Method 4) Runge-Kutta...
QUESTION Numerical integration method 1) Newton-Cotes Rules 2) Gauss Legendre Rules 3) Euler Method 4) Runge-Kutta Method 5) Trapezoidal Method 6) Milne's Method 7) Adams-Moulton-Bashforth By using ONLY ONE METHOD of the aforementioned numerical integration method, determine the estimated surface area of a lake. Given that the maximum length of the lake is 63.49 km, the maximum width of the lake is 22.8 km, the maximum depth of the lake is 104 m, the shore length is 235.2 km and...
Solve the allocation question with three methods. 1. direct method, 2. step down method. 3. reciprocal...
Solve the allocation question with three methods. 1.
direct method, 2. step down method. 3. reciprocal method.
Support Departments Plant Information Maintenance Systems Operating Departments Machining Assembly Total $600,000 $116,000 $400,000 $200,000 $1,316,000 Budgeted manufacturing overhead costs before any interdepartment cost allocations Support work furnished: By Plant Maintenance Budgeted labor-hours Percentage By Information Systems Budgeted computer-hours Percentage 1,600 20% 2,400 30% 4,000 50% 8,000 100% 200 10% 1,600 80X 200 10% 2,000 100%
For multi-step reactions, which is the best method? Select one: two steps three steps four steps...
For multi-step reactions, which is the best method? Select one: two steps three steps four steps five steps six steps
Question 2 (20 marks) In natural gas transmission, gas hydrates are a crystalline substance that can...
Question 2 (20 marks) In natural gas transmission, gas hydrates are a crystalline substance that can block pipelines, if they are allowed to form. A simplified model for the rate of change of the number of gas hydrate particles can be represented by a first order ordinary differential equation of the following form: dy Kty=0 dt Given that K = 1 and that y(0) = 100 compute the value of y(1), using the Adams-Bashforth Method with a step size of...
Explain step three and step four for the production cost report?
Explain step three and step four for the production cost report?
3. (15 points) Derive the Adams-Moulton Two-Step method and its local truncation error by using an appropriate form of an interpolating polynomial.
3. (15 points) Derive the Adams-Moulton Two-Step method and its local truncation error by using an appropriate form of an interpolating polynomial.
2. Derive the 2nd Adams-Moulton scheme dY for the ODE d f(e,Y).
2. Derive the 2nd Adams-Moulton scheme dY for the ODE d f(e,Y).
Question 1 Use Adam-Bashforth-Moulton two-step explicit and
implicit methods to approximate y(2.4) for the following
differential equation with y(2)=14.7781 and y(2.2)=19.855 USE FOUR
DECIMAL DIGIT ROUNDING.
-y-y/x=0
A higher order Adams-Bashforth method is given by
4(a) A higher order Adams-Bashforth method is given by n++5f(n-2,xn-2) -16f(In-1,xn-1) +23f(n, 12 Determined whether the root condition is satisfied for this Adams-Bashforth method. You may assume that the polynomial ρ(r) for the general multistep method j=0 is given by p(r)- rP+1 ajr' j =0 (b) Given that the Adams-Bashforth method given in part (a) satisfies the consistency condition, is it stable? Is it convergent? Is it strongly stable? Explain your answers...
1. Use all the Adams-Bashforth Fourth Step Explicit Method to approximate the solutions to the follow- ing initial-value problems. In each case, use exact starting values and compare the results to the actual values. V = 1+ ( - ), 2 st S3, y(2) = 1, h=0.2 and compare the solution with the exact solution: y(t) = ++
QUESTION Numerical integration method 1) Newton-Cotes Rules 2) Gauss Legendre Rules 3) Euler Method 4) Runge-Kutta Method 5) Trapezoidal Method 6) Milne's Method 7) Adams-Moulton-Bashforth By using ONLY ONE METHOD of the aforementioned numerical integration method, determine the estimated surface area of a lake. Given that the maximum length of the lake is 63.49 km, the maximum width of the lake is 22.8 km, the maximum depth of the lake is 104 m, the shore length is 235.2 km and...
Solve the allocation question with three methods. 1.
direct method, 2. step down method. 3. reciprocal method.
Support Departments Plant Information Maintenance Systems Operating Departments Machining Assembly Total $600,000 $116,000 $400,000 $200,000 $1,316,000 Budgeted manufacturing overhead costs before any interdepartment cost allocations Support work furnished: By Plant Maintenance Budgeted labor-hours Percentage By Information Systems Budgeted computer-hours Percentage 1,600 20% 2,400 30% 4,000 50% 8,000 100% 200 10% 1,600 80X 200 10% 2,000 100%
Question 2 (20 marks) In natural gas transmission, gas hydrates are a crystalline substance that can block pipelines, if they are allowed to form. A simplified model for the rate of change of the number of gas hydrate particles can be represented by a first order ordinary differential equation of the following form: dy Kty=0 dt Given that K = 1 and that y(0) = 100 compute the value of y(1), using the Adams-Bashforth Method with a step size of...
Most questions answered within 3 hours.
-
Oxidative phosphorylation is achieved through chemiosmotic
coupling, which turns chemical energy into osmotic potential energy
that...
asked 2 hours ago -
Hollywood Shoes would like to maintain their cash account at a
minimum level of $64,000, but...
asked 2 hours ago -
Proteins CtrA-P, DnaA, and GcrA behave similarly to what
molecule in the Eukaryotic Cell Cycle?
asked 2 hours ago -
TRUE OR FALSE
In case of a competitive tender procedure, in the request for
quotation, the...
asked 2 hours ago -
I am a little behind please provide some explanation, will
provide thumbs up.
This question considers...
asked 2 hours ago -
Let say the utility function as U(X,Y) = lnX + Y. Show that the
marginal rate...
asked 2 hours ago -
A current of I=8.0A is flowing in a typical extension cord of
length L=3.00m. The cord...
asked 2 hours ago -
1. When balancing the equation H2SO4 (aq) + NaOH (aq) →
Na2SO4(aq) + H2O(aq), would you...
asked 3 hours ago -
Provide a definition of “classification hierarchy” and
illustrate your definition with an example of how and...
asked 2 hours ago -
1. Describe the four main green solvents. Provide one example of
the use of each solvent....
asked 2 hours ago -
International ethics focus on:
1) exploitation of labor
2)corruption
3) environmental impact
4) none of the...
asked 3 hours ago -
Costing Models You work for XYZ trucking and your boss has asked
you to figure out...
asked 3 hours ago