I have a 3D matrix with 8x8x8 (x,y,z).so i got 56 points n 16 points for boundary.At first i use a formula of finite difference approximation to the 4th order operator given by
[ 1 ;
1 -4 1 ;
1 -8 20 -8 1 ;
1 -4 1 ;
1 ].
And the boundary when u=0, 0.5cos(v). u=1,0.2cos(v) which v=0:2*pi/8:2*pi. And tangency condition is x(-1,j)=x(1,j)-2hg(j).
h=1/8; X(0,v)=(-0.5cos v,-0.5sin v,-0.5);X(1,v)=(-1cos v,-1sin v,0)

After i form al the matrix,still cannot get the 3D smooth vase shape which is with many colors.i dont know what wrong with my programming in Matlab.

If there is a possibility how its done, that would help me a lot.Thanks for the idea and comments..I have a 3D matrix with 8x8x8 (x,y,z).so i got 56 points n 16 points for boundary.At first i use a formula of finite difference approximation to the 4th order operator given by
[ 1 ;
1 -4 1 ;
1 -8 20 -8 1 ;
1 -4 1 ;
1 ].
And the boundary when u=0, 0.5cos(v). u=1,0.2cos(v) which v=0:2*pi/8:2*pi. And tangency condition is x(-1,j)=x(1,j)-2hg(j).
h=1/8; X(0,v)=(-0.5cos v,-0.5sin v,-0.5);X(1,v)=(-1cos v,-1sin v,0)

After i form al the matrix,still cannot get the 3D smooth vase shape which is with many colors.i dont know what wrong with my programming in Matlab.

If there is a possibility how its done, that would help me a lot.Thanks for the idea and comments.. I have a 3D matrix with 8x8x8 (x,y,z).so i got 56 points n 16 points for boundary.At first i use a formula of finite difference approximation to the 4th order operator given by
[ 1 ;
1 -4 1 ;
1 -8 20 -8 1 ;
1 -4 1 ;
1 ].
And the boundary when u=0, 0.5cos(v). u=1,0.2cos(v) which v=0:2*pi/8:2*pi. And tangency condition is x(-1,j)=x(1,j)-2hg(j).
h=1/8; X(0,v)=(-0.5cos v,-0.5sin v,-0.5);X(1,v)=(-1cos v,-1sin v,0)

After i form al the matrix,still cannot get the 3D smooth vase shape which is with many colors.i dont know what wrong with my programming in Matlab.

If there is a possibility how its done, that would help me a lot.Thanks for the idea and comments.. 4th order partial differentiation equation, 3d matrix, 3d plots MATLAB Answers — New Questions

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