Homework Help is Here – Start Your Trial Now!
Math
Advanced Math
5.4.2 Example B Consider the equation z(k, l) + 2z(k – 1, l – 1) = l, (5.136) and let k – l = m. Therefore, setting で Uk = z(k, k – m) (5.137) ||

5.4.2 Example B Consider the equation z(k, l) + 2z(k – 1, l – 1) = l, (5.136) and let k – l = m. Therefore, setting で Uk = z(k, k – m) (5.137) ||

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
See similar textbooks
icon
Related questions
Question

Explain the determine blue

5.4.2 Еxample B Consider the equation z(k, l) + 2z(k – 1, l – 1) = l, (5.136) and let k – l = m. Therefore, setting z(k, k – m) (5.137) Uk = LINEAR PARTIAL DIFFERENCE EQUATIONS 183 gives Vk + 2vk–1 = k – m. (5.138) The solution to equation (5.138) is Vk = C1(-2)* + (2/9 – 1/3m) + 1/3k. (5.139) If we now replace m by k-l and C1 by f(k-l), we obtain the general solution to equation (5.136), z(k, l) = (-2)* f(k – €) + 2/9+ /3l. (5.140)
Transcribed Image Text:5.4.2 Еxample B Consider the equation z(k, l) + 2z(k – 1, l – 1) = l, (5.136) and let k – l = m. Therefore, setting z(k, k – m) (5.137) Uk = LINEAR PARTIAL DIFFERENCE EQUATIONS 183 gives Vk + 2vk–1 = k – m. (5.138) The solution to equation (5.138) is Vk = C1(-2)* + (2/9 – 1/3m) + 1/3k. (5.139) If we now replace m by k-l and C1 by f(k-l), we obtain the general solution to equation (5.136), z(k, l) = (-2)* f(k – €) + 2/9+ /3l. (5.140)
Expert Solution
steps

Step by step

Solved in 2 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Basics (types, similarity, etc)
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,
SEE MORE TEXTBOOKS