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Fortran Program for Calculating Sequence of Values using Given Formula, Exercises of Computer Fundamentals

Birla Institute of Technology and ScienceComputer Fundamentals

The source code and output of a fortran program designed to calculate a sequence of values using a given formula. The program initializes variables a, b, h, n, alpha, beta, x, and then calculates the values of a1, b1, d1, l1, u1, and z1 for each value of x from a to a+n*h. The values are stored in arrays arru1 and arrz1. The program then prints out the values of u1 and z1 for each iteration.

Typology: Exercises

2011/2012

Uploaded on 07/17/2012

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SOURCE CODE:
REAL A, B, H, N, ALPHA, BETA, X
REAL A1, B1, C1, D1, L1, U1, W1, Z1
REAL ARRU1(10), ARRZ1(10)
A = 1
B = 2
ALPHA = 1
BETA = 2
N = 9
H = (B - A) / (N+1)
X = A + H
A1 = 2.0 + H**2.0 * (2.0 / X**2)
WRITE(*,*)'A1 =', A1
WRITE(*,*)' '
WRITE(*,*)' '
B1 = -1 + (H / 2) * (-2 / X)
WRITE(*,*)'B1 =', B1
WRITE(*,*)' '
WRITE(*,*)' '
D1 = (-(H**2) * SIN(LOG (X)) / X**2) + (1 + (H/2) * (-2/X))*ALPHA
WRITE(*,*)'D1 =', D1
WRITE(*,*)' '
WRITE(*,*)' '
L1 = A1
WRITE(*,*)'L1 =', L1
WRITE(*,*)' '
WRITE(*,*)' '
U1 = B1 / A1
ARRU1(1) = U1
WRITE(*,*)'U1 =', U1
WRITE(*,*)' '
WRITE(*,*)' '
Z1 = D1 / L1
ARRZ1(1) = Z1
WRITE(*,*)'Z1 =', Z1
WRITE(*,*)' '
WRITE(*,*)' '
DO I=2, N-1
WRITE(*,*)'I =', I
WRITE(*,*)' '
WRITE(*,*)' '
X = A + I * H
WRITE(*,*)'X =', X
WRITE(*,*)' '
WRITE(*,*)' '
A1 = 2.0 + H**2.0 * (2.0 / X**2)
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SOURCE CODE :

REAL A, B, H, N, ALPHA, BETA, X

REAL A1, B1, C1, D1, L1, U1, W1, Z

REAL ARRU1(10), ARRZ1(10)

A = 1

B = 2

ALPHA = 1

BETA = 2

N = 9

H = (B - A) / (N+1)

X = A + H

A1 = 2.0 + H2.0 * (2.0 / X2)

WRITE(,)'A1 =', A

WRITE(,)' '

WRITE(,)' '

B1 = -1 + (H / 2) * (-2 / X)

WRITE(,)'B1 =', B

WRITE(,)' '

WRITE(,)' '

D1 = (-(H2) * SIN(LOG (X)) / X2) + (1 + (H/2) * (-2/X))*ALPHA

WRITE(,)'D1 =', D

WRITE(,)' '

WRITE(,)' '

L1 = A

WRITE(,)'L1 =', L

WRITE(,)' '

WRITE(,)' '

U1 = B1 / A

ARRU1(1) = U

WRITE(,)'U1 =', U

WRITE(,)' '

WRITE(,)' '

Z1 = D1 / L

ARRZ1(1) = Z

WRITE(,)'Z1 =', Z

WRITE(,)' '

WRITE(,)' '

DO I=2, N-

WRITE(,)'I =', I

WRITE(,)' '

WRITE(,)' '

X = A + I * H

WRITE(,)'X =', X

WRITE(,)' '

WRITE(,)' '

A1 = 2.0 + H2.0 * (2.0 / X2)

WRITE(,)'A1 =', A

WRITE(,)' '

WRITE(,)' '

B1 = -1 + (H / 2) * (-2 / X)

WRITE(,)'B1 =', B

WRITE(,)' '

WRITE(,)' '

C1 = -1 - (H / 2) * (-2 / X)

WRITE(,)'C1 =', C

WRITE(,)' '

WRITE(,)' '

D1 = -(H2) * SIN(LOG (X)) / X

WRITE(,)'D1 =', D

WRITE(,)' '

WRITE(,)' '

L1 = A1 - C1 * U

WRITE(,)'L1 =', L

WRITE(,)' '

WRITE(,)' '

Z1 = (D1 - C1 * Z1) / L

ARRZ1(I) = Z

WRITE(,)'Z1 =', Z

WRITE(,)' '

WRITE(,)' '

U1 = B1 / L

ARRU1(I) = U

WRITE(,)' '

WRITE(,)' '

WRITE(,)'U1 =', U

WRITE(,)' '

WRITE(,)' '

ENDDO

Z1 = 1.

W1 = Z

I = 9

WRITE(,)'W1',I,'=', W

WRITE(,)' '

WRITE(,)' '

DO I=N-1, 1, -

W1 = ARRZ1(I) - ARRU1(I) * W

WRITE(,)'W1',I,'=', W

WRITE(,)' '

WRITE(,)' '

ENDDO

END

  • A1 = 2.
  • B1 = -1.
  • D1 = 9.083044E-
  • L1 = 2.
  • U1 = -5.409836E-
  • Z1 = 4.504296E-
  • I =
  • X = 1.
  • A1 = 2.
  • B1 = -1.
  • C1 = -9.166667E-
  • D1 = -1.259119E-
  • L1 = 1.
  • Z1 = 2.711714E-
  • U1 = -7.136644E-
  • I =
  • X = 1.
  • A1 = 2.
  • B1 = -1.
  • C1 = -9.230769E-
  • D1 = -1.534702E-
  • L1 = 1.
  • Z1 = 1.838618E-
  • U1 = -7.959125E-
  • I =
  • X = 1.
  • A1 = 2.
  • B1 = -1.
  • C1 = -9.285714E-
  • D1 = -1.684486E-
  • L1 = 1.
  • Z1 = 1.329861E-
  • U1 = -8.428863E-
  • I =
  • X = 1.
  • A1 = 2.
  • B1 = -1.
  • C1 = -9.333333E-
  • D1 = -1.753094E-
  • L1 = 1.
  • Z1 = 1.001209E-
  • U1 = -8.727466E-
  • I =
  • X = 1.
  • A1 = 2.
  • B1 = -1.
  • C1 = -9.375000E-
  • D1 = -1.769100E-
  • L1 = 1.
  • Z1 = 7.741534E-
  • U1 = -8.931479E-
  • I =
  • X = 1.
  • A1 = 2.
  • B1 = -1.
  • C1 = -9.411765E-
  • D1 = -1.751126E-
  • L1 = 1.
  • Z1 = 6.097036E-
  • U1 = -9.078402E-
  • I =
  • X = 1.
  • A1 = 2.
  • B1 = -1.
  • C1 = -9.444444E-
  • D1 = -1.711483E-
  • L1 = 1.
  • Z1 = 4.863612E-
  • U1 = -9.188585E-
  • W1 9= 1.
  • W1 8= 1.
  • W1 7= 1.
  • W1 6= 1.
  • W1 5= 1.
  • W1 4= 1.
  • W1 3= 1.
  • W1 2= 1.
  • W1 1= 1.