Elective Numerical Methods
Numerical Methods: most repeated questions
Questions that have come up in more than one paper, matched by what they ask rather than exact wording. Most repeated first.
- 2×Asked in 2024, PU Springa) Compute the Simpson’s 1/3 and Simpson’s 3/8 rule for = ik edx using a regular partition with subinterval n=6. b) Use the Romberg integration to find the solution correct upto three decimal places. 1 i=/ J 14x? 0 3Answer coming15
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- a) Compute the Simpson’s 1/3 and Simpson’s 3/8 rule for = ik edx using a regular partition with subinterval n=6. b) Use the Romberg integration to find the solution correct upto three decimal…PU Spring 2024
- a) Find S dx by using: an i. Trapezoidal rule ii) Simpson’s 1/3 rule iii) Simpson’s 3/8 rule b) Use the Romberg integration to find the solution correct upto three decimal places. ray f= fy 1+x?2 a…PU Spring
- 2×Asked in 2024, PU Springa) For square bar of size 1Scmx15cm, calculate the steady state temperature at interior point for the grid size of SemxScm. orc oc P . 100°C oc Ld. 100°C 100°C b) Solve the Poisson equation W7f=2x"+ y, over the square domain 1<x <A, 1<y <4, with f=0 on the…Answer coming15
See the wording in each paper
- a) For square bar of size 1Scmx15cm, calculate the steady state temperature at interior point for the grid size of SemxScm. orc oc P . 100°C oc Ld. 100°C 100°C b) Solve the Poisson equation W7f=2x"+…PU Spring 2024
- a) Torsion on a square bar of size 15cm 15cm. If two of the sides are held at 100°C and the other two sides are held at 0°C. Calculate the steady state temperature at interior points. Assume a grid…PU Spring
- 2×Asked in 2024, PU Springa) Solve the following differential equation within 0<x<0.3 using RK 4™ order Method. d 102 =x? + y2,y(0) =1withh = 0.1 b) Apply Euler’s method to approximate value of y(0.3) for the differential equation: = =y+xy(0) =1.Answer coming15
See the wording in each paper
- a) Solve the following differential equation within 0<x<0.3 using RK 4™ order Method. d 102 =x? + y2,y(0) =1withh = 0.1 b) Apply Euler’s method to approximate value of y(0.3) for the differential…PU Spring 2024
- a) solve the following differential equation within 0<x<0.5 using order method 10d? y/dx?+2dy/dx 3y=5, y(0)=0,y'(0)=0. femsneees b) Using the Euler's (R KI & order method) find an approximate value…PU Spring
- 2×Asked in 2024, PU SpringWrite short notes on: (Any two) 2x5 a) Errors in Numerical Method b) Ill conditioned systemsAnswer coming
See the wording in each paper