Q2 (a) The following table gives the values of an experiment at various sample z Zi 0.3 0.4 0.5 0.6 0.7 0.8 fi 1.1880/a 1.2990ld | 1.4777ld 1.6488ld| 2.1555ld | 2.6666/d Check your solution with f(z) = 2e3z“ . Find the approximation values of f'(0.5) and f"(0.5) using : (i) 2-point forward difference (ii) 3-point central. (iii) 3-point backward.
Q2 (a) The following table gives the values of an experiment at various sample z Zi 0.3 0.4 0.5 0.6 0.7 0.8 fi 1.1880/a 1.2990ld | 1.4777ld 1.6488ld| 2.1555ld | 2.6666/d Check your solution with f(z) = 2e3z“ . Find the approximation values of f'(0.5) and f"(0.5) using : (i) 2-point forward difference (ii) 3-point central. (iii) 3-point backward.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
numerical method
id = 1
Transcribed Image Text:Q2 (a) The following table gives the values of an experiment at various sample z
Zi
0.3
0.4
0.5
0.6
0.7
0.8
fi
1.1880la 1.2990ld
1.4777ld
1.6488ld| 2.1555ld | 2.66661a
Check your solution with f(z) = 2e3z . Find the approximation values of f'(0.5)
%3D
and f"(0.5) using :
(i)
2-point forward difference
(ii)
3-point central.
(iii) 3-point backward.
(iv) 3-point central for second derivative.
(v)
5-point central difference for second derivative.
(b)
Explain which formula gives better approximation in Q2(a).
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 4 steps
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
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…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
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…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
