Numerical Methods Matlab Codes

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Gauss_Elimination_youtube1 - Matlab Code

Gauss_Elimination_no_pivoting_demo - Matlab Code

Gauss_Elimination_with_pivoting - Matlab Code

Thomas_Algorithm - Matlab Code

Jacobi_iteration_method - Matlab Code

Gauss_Seidel_Method - Matlab Code

SOR_Method - Matlab Code

Bisection_Method - Matlab Code

Regula_Falsi_Method - Matlab Code

Fixed_Point_Iteration_Method - Matlab Code

Newtons_Method - Matlab Code

Secant_Method - Matlab Code

Num_Int_Trapezoidal_Rule - Matlab Code

Num_Int_Simpsons_One_Third_Rule - Matlab Code

Num_Int_Simpsons_three_eighth_Rule - Matlab Code

Num_Int_Gauss_Quadrature_2_point - Matlab Code

Num_Int_Gauss_Quadrature_4_point - Matlab Code

ODE_Explicit_Euler - Matlab Code

ODE_Implicit_Euler - Matlab Code

ODE_Modified_Euler - Matlab Code

ODE_Modified_Euler1 - Matlab Code

ODE_4th_Order_Runge_Kutta_Method - Matlab Code

ODE_Stiff_Explicit_Euler - Matlab Code

ODE_Stiff_Implicit_Euler - Matlab Code

ODE_System_Explicit_Euler - Matlab Code

ODE_System_4th_Order_Runge_Kutta_Method - Matlab Code

ODE_BVP - Matlab Code

ODE_BVP - Analytical Solution

Laplace_Equation_1D_Dirichlet_BCs - Matlab Code

Laplace_Equation_1D_Composite_Wall_Dirichlet_BCs - Matlab Code

Poisson_Equation_1D_Dirichlet_BCs - Matlab Code

Laplace_Eqn_1D_Cyl__Dirichlet_BCs - Matlab Code

Diffusion_equation_1D_Explicit_Method_Dirichlet_BCs - Matlab Code

Diffusion_equation_1D_Implicit_Method_Dirichlet_BCs - Matlab Code

Diffusion_equation_1D_Explicit_Cyl_Dirichlet_BCs - Matlab Code

Diffusion_equation_1D_Explicit_Cyl_Neumann_BCs - Matlab Code

Diffusion_equation_1D_CN_Method_Dirichlet_BCs - Matlab Code

Diffusion_equation_1D_CN_Method_Neumann_BCs - Matlab Code

Laplace_Equation_2D_Dirichlet_BCs - Matlab Code

Poisson_Equation_2D_Dirichlet_BCs - Matlab Code

Diffusion_equation_2D_Explicit_Method_Dirichlet_BCs - Matlab Code

Diffusion_equation_2D_Implicit_Method_Dirichlet_BCs - Matlab Code

Diffusion_equation_1D_Explicit_Method_Neumann_BCs_July_09_2018 - Matlab Code

Diffusion_equation_2D_Explicit_Method_Neumann_BCs - Matlab Code

Diffusion_equation_2D_Explicit_Method_Mixed_BCs - Matlab Code

Diffusion_Eqn_2D_ADI_Dirichlet_BCs - Matlab Code

Diffusion_equation_1D_Implicit_Method_Mixed_BCs - Matlab Code

Diffusion_equation_1D_Explicit_Method_Convection_BCs - Matlab Code

Diffusion_equation_2D_Explicit_Method_Convection_BCs - Matlab Code

Diffusion_equation_2D_Explicit_Cyl_Dirichlet_BCs - Matlab Code

Advection_Diffusion_equation_1D_FTCS_Method - Matlab Code

Advection_Diffusion_equation_1D_BTCS_Method - Matlab Code

Advection_Diffusion_equation_1D_CN_Method - Matlab Code

Convection_Equation_1D_Exact - Matlab Code

Convection_Equation_1D_Lax_Wendroff_1step_method - Matlab Code

Convection_Equation_1D_MacCormack_method - Matlab Code

Convection_Equation_1D_1st_order_upwind - Matlab Code

Convection_Equation_1D_2nd_order_upwind - Matlab Code

1D Wave Equation Analytical Matlab Code

1D Wave Equation Analytical1 Matlab Code

1D Wave Equation Centered Difference Matlab Code

1D Wave Equation Centered Difference Damped Matlab Code

Thomas_Algorithm_Func1 - Matlab Code

Thomas_Algorithm_Func - Matlab Code

Matrix_to_Vector_Func - Matlab Code

Vector_to_Matrix_Func - Matlab Code

SOR_method_Func - Matlab Code