Symbolic Laplacian in different coordinate systems. By symbolic programming in MATLA...

Symbolic Laplacian in different coordinate systems. By symbolic programming in MATLAB, write functions LaplaceCar(), LaplaceCyl(), and LaplaceSph() that find Laplacian in the Cartesian, cylindrical, and spherical coordinate systems, respectively, based on Eqs.(2.8), (2.10), and (2.11) (see MATLAB Exercise 1.33). Test the codes with fCartesian = 3x²y³z, fcylindrical = r² cos φz³, and fspherical = r² sin θ cos φ. (LaplaceCar.m, LaplaceCyl.m, LaplaceSph.m, and ME2 9.m on IR) H

Reference: Equation(2.8),(2.10), and (2.11)