This project demonstrates how to solve a system of linear equations using ideas from the Conjugate Gradient (CG) method in numerical analysis. The implementation is written in Python using NumPy and ...

x = (B[0] - (A[0,1] * y) - (A[0,2] * z)) / A[0,0] y = (B[1] - (A[1,0] * x) - (A[1,2] * z)) / A[1,1] z = (B[2] - (A[2,0] * x) - (A[2,1] * y)) / A[2,2] if np.isclose(x ...

Abstract: This work investigates a modified pressure implicit with splitting of operators (PISO) solver that employs the successive over-relaxation (SOR) iterative method for solving the discretized ...

1 Department of Mathematics, Mawlana Bhashani Science and Technology University, Tangail, Bangladesh. 2 Department of Mathematics, Uttara University, Dhaka, Bangladesh. This study presents a ...