A direct numerical procedure for the Cauchy problem for the heat equation

DOI10.1016/0022-247X(76)90003-2zbMath0339.65050OpenAlexW2069358209MaRDI QIDQ1231385

Richard E. Ewing, John R. Cannon

Publication date: 1976

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-247x(76)90003-2

Mathematics Subject Classification ID

Heat equation (35K05) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Related Items (11)

Numerical Approximation of a Cauchy Problem for a Parabolic Partial Differential Equation ⋮ Realization theory for symmetric systems ⋮ The Cauchy problem for a linear parabolic partial differential equation ⋮ On complex-valued 2D eikonals. IV: continuation past a caustic ⋮ The inverse Stefan problem as a problem of nonlinear approximation theory ⋮ Determination of a source term in a linear parabolic partial differential equation ⋮ The numerical solution of the inverse Stefan problem ⋮ The application of the method of quasi-reversibility to the sideways heat equation ⋮ Continuous data dependence, regularization, and a three lines theorem for the heat equation with data in a space-like direction ⋮ Estimates and reglarization for solutions of some ill-posed problems of elliptic and parabolic type ⋮ A method for the numerical solution of the one-dimensional inverse Stefan problem

Cites Work

• Alcune limitazioni per le soluzioni di equazioni paraboliche
• A Cauchy problem for the heat equation
• The Cauchy Problem for the Heat Equation
• On the Cauchy Problem for the One-Dimensional Heat Equation
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