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Numerical Methods Using MATLAB: ============================ Get the code: https://bit.ly/2UR9bDg This list concerns with the application of #Numerical_Methods in #MATLAB, in this playlist you can find all the topics, methods and rules that you have heard about, some of them are: ,Finding Roots of Equations, Graphical Method, Bi-Section Method, Simple Fixed Point Iteration, Newton Raphson Method, Secant Method, Modified Secant Method, Improved Marouanes Secant Method,Solving Linear Systems, Cramer Method, Pivoting Naive Gauss Elimination, Forward Elimination, LU Decomposition, Gauss Seidel Method, Optimization, Newton-Raphson Method, Golden Section Search Method,Quadratic Interpolation Method, Curve Fitting, Linear Regression, Polynomial Regression, Interpolation, Linear Interpolation, Quadratic Interpolation, Newton's Interpolating Polynomials,Solving ODEs, Euler Method (Forward Euler Method), Euler Method (Backward, Implicit Method), Modified Euler, Backward Euler, Forward Euler Comparison with Exact Solution, Picard Method (Iteration Integral Method), RK2 Runge Kutta of Second Order, RK4 Runge Kutta of Fourth Order, RK45 (RKF45) Runge Kutta 45, Midpoint Method, Numerical Integration, Trapezium Method, Numerical Solution Boundary Value Problem BVP, Finite Difference Method for solving BVP, Poisson's Equation, Shooting Method for solving BVP, Simpson's Method, Simpson's 3/8 Method, Gauss Quadrature Method, #Numerical_Methods_Using_MATLAB The links down are not completed as we update the playlist periodically, so please refer to the main playlist to get all the topics through this link: https://www.youtube.com/playlist?list=PLDcmCgguL9rzKPvfTRUBB6YZqOR7bNToa 1 - Finding Roots of Equations: 1.1 - Graphical Method https://youtu.be/KjznUsAAaWA 1.2 - Bi-Section Method https://youtu.be/vBpU8UUN6Ks 1.3 - Simple Fixed Point Iteration https://youtu.be/eAVEjz9_lAY 1.4 - Newton Raphson Method https://youtu.be/4Dcgw4eg18c 1.5 - Secant Method https://youtu.be/gohcPFNqwXM 1.6 - Modified Secant Method https://youtu.be/xCdFS-3Kvno 1.7 - Improved Marouanes Secant Method https://youtu.be/TqhMWakjlO4 2 - Solving Linear Systems: 2.1 - Graphical Method https://youtu.be/E9Wm5pP1R_U 2.2 - Cramer Method https://youtu.be/PGXx89H5dJM 2.3 - Pivoting Naive Gauss Elimination, Forward Elimination https://youtu.be/jfUUQMb79ng 2.4 - LU Decomposition https://youtu.be/Iou1OjPD_6g 2.5 - Gauss Seidel Method https://youtu.be/MECAovirytc 3 - Optimization 3.1 - Newton-Raphson Method https://youtu.be/-4VlmkqaKQg 3.2 - Optimization Golden Section Search Method https://youtu.be/jIY_3EKZ0Zk 3.3 - Optimization Quadratic Interpolation Method https://youtu.be/79DItsqqeFM 4 - Curve Fitting 4.1 - Linear Regression https://youtu.be/mrDrxaN0J9U 4.2 - Polynomial Regression https://youtu.be/vzl5c8Veyx8 5 - Interpolation 5.1 - Linear Interpolation https://youtu.be/ueGTY65XaCM 5.2 - Quadratic Interpolation https://youtu.be/pICrd9jtnDU 5.3 - Newton's Interpolating Polynomials https://youtu.be/xZYT3R9mDXM 6 - Solving ODEs 6.1 - Euler Method (Forward Euler Method) https://youtu.be/e26Ie02vJcQ 6.2 - Euler Method (Backward, Implicit Method) https://youtu.be/FqA3qBPgNYw 6.3 - Modified Euler, Backward Euler, Forward Euler Comparison with Exact Solution https://youtu.be/cTc2tpf347I 6.4 - Picard Method (Iteration Integral Method) https://youtu.be/ThrfYxWAz_Q 6.5 - RK2 Runge Kutta of Second Order https://youtu.be/ZV-qwZ9DiCw 6.6 - RK4 Runge Kutta of Fourth Order https://youtu.be/3Z_aeb-G5iY 6.7 - RK4 (All Forms Comparison) Runge Kutta https://youtu.be/90q7WOLytIY 6.8 - RK45 (RKF45) Runge Kutta 45 - Part 1 https://youtu.be/XK51zyFhwGs 6.9 - RK45 (RKF45) Runge Kutta 45 - Part 2 https://youtu.be/BDMqzn5Sh28 6.10 - Midpoint Method https://youtu.be/leJj2VOBoeg 7 - Solving System of Differential Equations: 7.1 - Forward Euler Method https://youtu.be/XNud9uKznms 7.2 - Backward Euler Method https://youtu.be/-iStWl8FOFY 7.3 - Modified Euler Method https://youtu.be/Z_xxovHxm5Q 7.4 - Runge Kutta 2 (RK2) https://youtu.be/jcJgf08aFI4 7.5 - All Forms of RK4 https://youtu.be/fDHkzESM0ao 7.6 - RKF45 Fifth and Forth Order Runge Kutta https://youtu.be/7hfqUqMD2-Q 7.7 - Midpoint Method https://youtu.be/oU5IP1wYjM0 8 - Numerical Integration: 8.1 - Trapezium Method https://youtu.be/Oz9yKpCJBaE 8.2 - Mid Point Method https://youtu.be/5wP1MA6Qxfc 8.3 - Simpson's Method https://youtu.be/8eAkabGFUWk 8.4 - Simpson's 3/8 Method https://youtu.be/JTgB644ZyFQ 8.5 - Gauss Quadrature Method https://youtu.be/S8o5_WHKdO4 9 - Numerical Solution Boundary Value Problem BVP 9.1 - Finite Difference Method for BVP (Poisson's Equation) https://youtu.be/7lL2KEuyPsU 9.2 - Shooting Method https://youtu.be/s_WdKVi8jx8 10 - Fast Nonprogramming Methods For: 10.1 - Finding Roots of Equations using MATLAB https://youtu.be/tqqMt1iQON4 . #ToCourses Patreon Account: https://www.patreon.com/tocourses Subscription Link: https://bit.ly/2YrVCvU Channel Link: https://bit.ly/2ZjDaa4
