Other Methods: Crank-Nicolson

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Related lectures (30)

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Finite Differences Method: Error Division and Schemes

Covers error division and schemes for solving differential equations.

Linear Differential Equations: Constant Coefficients and Solution Methods

Covers linear differential equations with constant coefficients and introduces the method of good choice for finding particular solutions.

Elasto-gravity Bending: Mechanics of Slender Structure

Explores the deformations of an inextensible sheet bent under self-weight and its equilibrium shapes under gravity.

Higher Order Schemes

Explores higher-order schemes for solving differential equations and their stability analysis compared to other methods.

Euler Backward Method: ODEs

Explores the Euler backward method for ODEs, discussing stability, error reduction, and implicit vs explicit methods.

Advanced Analysis II: Cauchy Problem Resolution

Covers the numerical resolution of a Cauchy problem using separation of variables and discusses the conditions for the solution's definition interval.

Cauchy Problem Resolution: General Solution Approach

Covers the resolution of a Cauchy problem using a general solution approach for differential equations.

Numerical Methods: Differential Equations and Stability Analysis

Covers numerical methods for solving differential equations and their stability analysis, focusing on error calculation and practical applications in engineering and science.

Runge-Kutta Methods: Approximating Differential Equations

Covers the stages of the explicit Runge-Kutta method for approximating y(t) with detailed explanations.

Exam Problems: Nonlinear Equations & ODEs

Covers exam-like problems on nonlinear equations, ODEs, and numerical methods.