# Use the function ellipgen to solve this equation with 15 divisions of x and y.

Solve the equation

2 V + 4 π2 (x2 + y2) V = 4π cos {π (x2 +y2)}

over the square region 0≤x≤0.5 and 0≤y≤0.5. The boundary conditions are

V(x,0)=sin(πx2), V(x,0.5)=sin{π(x2+0.25)}

V(0,y)=sin(πy2), V(0.5,y)=sin{π(y2+0.25)}

Use the function ellipgen to solve this equation with 15 divisions of x and y. Plot your results and compare with a plot of the exact solution, which is given by V =sin{π(x2+y2)}.Solve the eigenvalue problem∇2z+λG(x,y)z=0 over a rectangular region bounded by 0≤ x ≤1 and 0≤y ≤1.5, z=0 at all boundaries. Use the function ellipgen with six divisions in x and nine divisions in y. The function G(x,y) over this grid is given by the MATLAB statements G = ones(10,7); G(4:7,3:5) = 3*ones(4,3);. This represents a membrane with a central area thicker than its periphery. The eigenvalues are related to the natural frequencies of this membrane. The post Use the function ellipgen to solve this equation with 15 divisions of x and y. appeared first on Best Custom Essay Writing Services | EssayBureau.com.

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