3.Solution methods for systems of algebraic equations: numerical method for thermal Engineering

Direct and iterative solution methods in linear algebra: Cramer's rule, elementary row operations, Gauss-Jacobi, Gauss-Seidel, Gauss-Jordan, their convergence; nonlinear solution techniques: Newton-Raphson, Regula-Falsi (false position), shooting method, graphical and quadratic formula techniques: Delve into both direct and iterative approaches for solving linear algebra problems, including Cramer's rule and Gaussian elimination variants, emphasizing convergence criteria. Also covered are nonlinear system solvers like Newton-Raphson, false position, graphical analysis, and the shooting method, demonstrating their application to complex engineering models.