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Finite difference approximations to one-dimensional parabolic equations using a cubic spline technique

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Publication:1223935
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DOI10.1016/0771-050X(76)90035-8zbMath0322.65045MaRDI QIDQ1223935

S. S. Sastry

Publication date: 1976

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)



Mathematics Subject Classification ID

Heat equation (35K05) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12)


Related Items

Spline function approximation for differential equations



Cites Work

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  • Collocation methods for parabolic equations in a single space variable. Based on C\(^1\)-piecewise-polynomial spaces
  • On optimal modelling of systems
  • Numerical solution of non-singular Fredholm integral equations of the second kind
  • A Fully Implicit Finite Difference Approximation to the One-dimensional Wave Equation using a Cubic Spline Technique
  • Piecewise Cubic Interpolation and Two-Point Boundary Problems
  • Cubic spline solutions to two-point boundary value problems
  • The use of cubic splines in the solution of two-point boundary value problems
  • The Use of Collocation as a Projection Method for Solving Linear Operator Equations
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