Recent content by Gihan sky
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Solving Second Order Differential Equations using Runge Kutta
Yes, your approach is right. d2y/dx2 + xy = 0 dy/dx = z -------------------(1) dz/dx = -xy -----------------(2) y' = z, then define y(n+1) = y(n) + (h/6)*(k1 + 2*k2 + 2*k3 +k4) and for, z' = -xy, define, z(n+1) = z(n) + (h/6)*(j1 + 2*j2 + 2*j3 +j4) now define...- Gihan sky
- Post #6
- Forum: Calculus and Beyond Homework Help
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Graduate Does Simulating 3-D Structures Enhance Polymer Solar Cell Efficiency?
Is it useful simulating a 3-D structure of a polymer solar cell? Is there a particular internal structure for a polymer solar cell which is most efficient?- Gihan sky
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- Cells Polymer Solar Solar cells
- Replies: 1
- Forum: Beyond the Standard Models
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Graduate How Can Equation (13) Be Converted into the Matrix Form Ax = B?
Can somebody convert equation 13 into the matrix form. i.e Ax=B- Gihan sky
- Post #4
- Forum: Linear and Abstract Algebra
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Graduate How Can Equation (13) Be Converted into the Matrix Form Ax = B?
I want to solve these equation 13 for variable "n". Here n[i][j] is the electron density in the i,j position at time "t+1". So the matrix "x" (if this can be rearranged to the form Ax=B) should contain the values of "n" at the positions (i,j),(i,j-1),(i,j+1),(i-1,j),(i+1,j). matrix "B"...- Gihan sky
- Post #3
- Forum: Linear and Abstract Algebra
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Graduate How Can Equation (13) Be Converted into the Matrix Form Ax = B?
Please help on solving these difficult equations In the pdf document I attached there are equations numbered (12) ,(13), (14). These are similar equations. I want to find a way to iteratively solve the equation number (13). I was told that this equation can be rearranged to the form, "Ax=B"...- Gihan sky
- Thread
- Complex
- Replies: 3
- Forum: Linear and Abstract Algebra