algorithm to Implement Simpsons method

Algorithm:

Step 1. Read x1,x2,e

Step 2. h=(x2-x1)/2

Step 3. i=2

Step 4. si=f(x1) + f(x2)

Step 5. s2=0

Step 6. s4=f(x1+h)

Step 7. I0=0

Step 8. In =(s+4s4). (h/3) Repeat

Step 9. s2=s2+s4 {s2 stores already computed functional value and s4 the

value computed in the new nitration }

Step 10. s4=0

Step 11. x=x1+h/2

Step 12. for j=1 to I do

    Step 13. s4=s4+f(x)

Step 14. x=x+h

Step 15. h=h/2

Step 16. i=2i

Step 17. io=in

Step 18. in= (s1+2s2+4s4) . (h/3)

Step 19. until |In-Io|≤e. /in

Step 20. Write In,h,i

Step 21. STOP

Algorithm

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