A Volterra integral type method for solving a class of nonlinear initial-boundary value problems

DOI<265::AID-NUM8>3.0.CO;2-O 10.1002/(SICI)1098-2426(199603)12:2<265::AID-NUM8>3.0.CO;2-OzbMath0858.65138OpenAlexW2046587356MaRDI QIDQ4889211

Tao Tang, Wilson Lamb, Sean McKee, Bartur Jumarhon

Publication date: 12 August 1996

Full work available at URL: https://doi.org/10.1002/(sici)1098-2426(199603)12:2<265::aid-num8>3.0.co;2-o

zbMATH Keywords

heat equationnonlinear boundary conditionsCrank-Nicolson methodsystem of nonlinear Volterra integral equationsproduct trapezoidal scheme

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Heat equation (35K05) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Systems of nonlinear integral equations (45G15)

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Cites Work

• Product integration methods for solving a system of nonlinear Volterra integral equations
• Unnamed Item