poisson_sym(V,X,coordinate_system)
This Function calculates the double derivative (Poisson's Equation) of the 3D symbolic vector in Cartesian, Cylindrical, and Spherical coordinate system.
function poissonSym = poisson_sym(V,X,coordinate_system)
V is the 3D symbolic vector field
X is the parameter which the divergence will calculate with respect to.
coordinate_system is the kind of coordinate system at which the vector field is specified.
The Poisson's Equation is calculated according to (Engineering Electromagnetics Sixth Edition William H. Hayt, Jr. . John A. Buck)
Example (1):
V=4*y*z/(x^2+1)
Del_2_V=poisson_sym(V,[x y z],'Cartesian')
Example (2):
V=5*rho^2*cos(2*phi)
Del_2_V=poisson_sym(V,[rho phi z],'Cylindrical')
Example (3):
V=2*cos(phi)/r^2;
Del_2_V=poisson_sym(V,[r theta phi],'Spherical')
Cite As
mohamed fekry (2024). poisson_sym(V,X,coordinate_system) (https://www.mathworks.com/matlabcentral/fileexchange/66691-poisson_sym-v-x-coordinate_system), MATLAB Central File Exchange. Retrieved .
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- Mathematics and Optimization > Partial Differential Equation Toolbox > Domain-Specific Modeling > Electromagnetics >
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Version | Published | Release Notes | |
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1.0.0.0 |