Numerical Methods: Lecture 19 | Cubic Spline Polynomials

🔍 In this video, we learn the strategy to develop the equations for cubic spline interpolation from scratch. Starting with the idea of piecewise cubic polynomials. ✅ Topics Covered: - Walks through step-by-step derivation of the equation. -.Solving a complete example problem using cubic splines. - Performed Cubic Spline Polynomial. By the end of the video, you will understand how to formulate the complete set of cubic spline equations that smoothly pass through a given set of data points. 📚 Perfect for students of Numerical Methods, Engineering, Mathematics, and anyone interested in computational problem-solving. Linkedin Account : https://www.linkedin.com/in/muhammad-nouman-aslam-khan-60057722/?lipi=urn%3Ali%3Apage%3Ad_flagship3_feed%3BkSWSu7iJSPW3IHgRawrAAQ%3D%3D #numericalmethods #approximate #bisectionmethod #newtonraphsonmethod #chemicalengineering #materialsengineering #engineering #overview #numericalanalysis #MATLAB #NumericalDifferentiation #taylorseries #error #roundoff #absolute #intermediate#value#theorem #bisectionmethod #pseudocode #fixed #fpm #iterations #fixedpointtheorem #convergence #uniqueness #existence #bounds #numericalanalysislecture #errorapproximation #engineeringmathematics #appliednumericalmethodsforengineers #numericalmethods4thsemester #NumericalMethods #NewtonMethod #SecantMethod #RootFinding #MATLAB #falsepositionmethod #basiccommands #implementation #systemoflinearequations #pivoting #partialpivoting #algorithm #NumericalMethods #JacobiMethod #GaussSeidel #Convergence #LinearAlgebra #EngineeringMath #nonlinear#NumericalMethods #FixedPointMethod #NewtonsMethod #NonlinearEquations #EngineeringMath #MATLAB #RootFindings #CurveFitting #Prediction #DataFitting #lagrangeinterpolation #lagrange #lagrangepoint #spline #cubicspline #polynomials