更正一下k4x的公式,括号里面的是k3v而不是k3x。量纲错误
求大佬用Fortran解答,不胜感激!
让阿豪来帮你解答,本回答参考chatgpt3.5编写提供,如果还有疑问可以评论或留言问题:给定一组线性方程,如何用Fortran求解? 解答:
module my_module
implicit none
<module contents>
end module my_module
1.2 变量声明 变量声明用于定义变量名称、数据类型和初始值等。例如:
real :: x = 0.0
1.3 语句 语句用于执行一系列操作,如输入输出、控制流、函数调用等。例如:
x = x + 1.0
if (x > 10.0) then
print *, "x is greater than 10.0"
else
print *, "x is less than or equal to 10.0"
endif
1.4 过程 过程是一段可执行的代码,可以接受一些参数并返回一个值。过程可以是函数或子程序(subroutine)。例如:
function my_function(x)
real :: x
my_function = x**2
end function my_function
subroutine my_subroutine(x, y, z)
real :: x, y, z
z = x + y
end subroutine my_subroutine
program solve_linear_equations
implicit none
integer, parameter :: n = 3
real :: a(n, n+1), x(n)
integer :: i, j, k
real :: c, s
a = reshape([10.0, 2.0, -1.0, 27.0, -2.0, 7.0, -2.0, -61.0, 1.0, -1.0, 5.0, 7.0], [n, n+1])
! Gaussian elimination
do k = 1, n
c = a(k, k)
do j = k, n+1
a(k, j) = a(k, j) / c
end do
do i = 1, n
if (i == k) then
cycle
endif
s = a(i, k)
do j = k, n+1
a(i, j) = a(i, j) - s * a(k, j)
end do
end do
end do
! Print solution
do i = 1, n
x(i) = a(i, n+1)
print *, "x(", i, ") = ", x(i)
end do
end program solve_linear_equations
此程序包括一个名为solve_linear_equations的程序模块,它包括一个n × (n + 1)的数组a和一个n元向量x,用于存储方程组的系数和解。 程序使用高斯消元法对矩阵a进行变换,最终得到该线性方程组的解。最后,程序输出该线性方程组的解。 注意:该程序的n、a和x变量均为实数类型,因此在声明时需要使用real关键字。 3. 代码 以下是以上示例的完整代码:
program solve_linear_equations
implicit none
integer, parameter :: n = 3
real :: a(n, n+1), x(n)
integer :: i, j, k
real :: c, s
a = reshape([10.0, 2.0, -1.0, 27.0, -2.0, 7.0, -2.0, -61.0, 1.0, -1.0, 5.0, 7.0], [n, n+1])
! Gaussian elimination
do k = 1, n
c = a(k, k)
do j = k, n+1
a(k, j) = a(k, j) / c
end do
do i = 1, n
if (i == k) then
cycle
endif
s = a(i, k)
do j = k, n+1
a(i, j) = a(i, j) - s * a(k, j)
end do
end do
end do
! Print solution
do i = 1, n
x(i) = a(i, n+1)
print *, "x(", i, ") = ", x(i)
end do
end program solve_linear_equations