Numerical Analysis Programs Using Fortran 90 - University of ...

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Forward derivation is 2.985099 Backward derivation is 3.015098 Central derivation is 3.000097 ------------------------------------------------------------------- Three Point derivation is 3.000097 Five Point derivation is 2.999997 ------------------------------------------------------------------- Second derivation is -3.000144 Third derivation is 6.001784 Fourth derivation is -18.005940 46
Problem: Write a <strong>Fortran</strong> program to find first derivation from the following data using derivation <strong>of</strong> Newton Forward polynomial. x 1 2 3 4 5 6 7 y -4 -1 10 35 80 151 254 ! Derivative from Newton Forward dimension x(10),y(10),d(10,10) n=7 data (x(i), i=1,7)/1,2,3,4,5,6,7/ data (y(i), i=1,7)/-4,-1,10,35,80,151,254/ !print*,(x(i), i=1,7) !print*,(y(i), i=1,7) do i=1,n-1 do j=1,n-i y(j)=y(j+1)-y(j) d(i,j)=y(j) enddo enddo s=0 do i=1,n-1 s=s+d(i,1)/i*(-1)**(i+1) enddo fd=s/(x(2)-x(1)) print*,'First derivation is', fd end 3 2 y = x − 2 x + 2 x − 5 ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ The First Derivation= 1.000000 47
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Numerical Analysis Programs Using Fortran 90 - University of ...

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