Finite Difference Method: Approximating Derivatives and Equations

Related lectures (28)

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Explores transient flow in porous media, covering governing equations, stability conditions, and numerical methods.

Covers finite element methods for solving diffusion problems in porous media, including meshing, interpolation, and weighted residuals.

Discusses the numerical analysis of pollutant transport equations and their applications in environmental modeling.

Explores consistency and stability in numerical methods, emphasizing error analysis and the role of boundary conditions.

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

Explores power series solutions in quantum mechanics for differential equations and energy quantization.

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

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

Explores integrating loads to deform beams, emphasizing boundary conditions and practical applications in stress analysis.

Covers error division and schemes for solving differential equations.