Numerical Derivatives of Order 1

Related lectures (28)

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Covers numerical derivatives of order 1 using progressive finite difference formulas in numerical analysis.

Introduces the finite difference method for approximating derivatives and solving differential equations in practical applications.

Explores the stability analysis of finite difference methods for solving differential equations.

Covers the application of finite element methods to solve boundary value problems in one dimension.

Explores numerical methods for boundary value problems, including heat diffusion and fluid flow, using finite difference methods.

Covers error division and schemes for solving differential equations.

Covers the motivation and examples of boundary value problems, the finite difference method, and the approximation of local derivatives.

Explores the accuracy of central finite difference formulas for derivatives.

Covers non-linear ordinary differential equations, including separation, Cauchy problems, and stability conditions.

Explores hydroacoustic modeling through electrical analogies, discussing resolution methods, simplified equations, and physical interpretations.