Finite-difference solutions of partial differential equations

DOI10.1002/cnm.1630060303zbMath0704.65062OpenAlexW1983055016MaRDI QIDQ3484290

M. C. Bhattacharya

Publication date: 1990

Published in: Communications in Applied Numerical Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/cnm.1630060303

zbMATH Keywords

finite difference methodBurgers equationseparation of variablesheat conduction equationtruncation error estimationimplicit difference equationconsistency orderEuler difference equationCrank- Nicolson difference equationsubinterval time-step elimination

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) KdV equations (Korteweg-de Vries equations) (35Q53) Error bounds for boundary value problems involving PDEs (65N15) Heat equation (35K05) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Finite difference methods for boundary value problems involving PDEs (65N06)

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Cites Work

• Some recent methods for the numerical solution of time-dependent partial differential equations