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Algorithm 461 Cubic Spline Solutions to a Class of Functional Differential Equations [D2].

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Title: Algorithm 461 Cubic Spline Solutions to a Class of Functional Differential Equations [D2].
Authors: Burkowski, F. J.1, Hoskins, W. D.1
Source: Communications of the ACM. Oct73, Vol. 16 Issue 10, p635-637. 3p.
Subjects: Spline theory, Differential equations, Approximation theory, Algorithms, Boundary value problems
Abstract: The article presents an algorithm that computes cubic spline solutions to a class of functional differential equations. The subroutine SPNBVP calculates a piecewise continuous approximation to the solution of the boundary value problem. SPNBVP utilizes an iterative scheme where each iterate is a cubic spline serving as an approximation to the true solution. SPNBVP requires six function subprograms for defining the functions. Four other subroutines are required. Finally, the user is responsible for the provision of routines which compute the solution of the matrix system.
Database: Engineering Source
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  Data: Algorithm 461 Cubic Spline Solutions to a Class of Functional Differential Equations [D2].
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  Data: <searchLink fieldCode="JN" term="%22Communications+of+the+ACM%22">Communications of the ACM</searchLink>. Oct73, Vol. 16 Issue 10, p635-637. 3p.
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  Data: <searchLink fieldCode="DE" term="%22Spline+theory%22">Spline theory</searchLink><br /><searchLink fieldCode="DE" term="%22Differential+equations%22">Differential equations</searchLink><br /><searchLink fieldCode="DE" term="%22Approximation+theory%22">Approximation theory</searchLink><br /><searchLink fieldCode="DE" term="%22Algorithms%22">Algorithms</searchLink><br /><searchLink fieldCode="DE" term="%22Boundary+value+problems%22">Boundary value problems</searchLink>
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  Label: Abstract
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  Data: The article presents an algorithm that computes cubic spline solutions to a class of functional differential equations. The subroutine SPNBVP calculates a piecewise continuous approximation to the solution of the boundary value problem. SPNBVP utilizes an iterative scheme where each iterate is a cubic spline serving as an approximation to the true solution. SPNBVP requires six function subprograms for defining the functions. Four other subroutines are required. Finally, the user is responsible for the provision of routines which compute the solution of the matrix system.
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        Value: 10.1145/362375.362413
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        Text: English
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      – SubjectFull: Spline theory
        Type: general
      – SubjectFull: Differential equations
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      – SubjectFull: Approximation theory
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      – SubjectFull: Algorithms
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      – SubjectFull: Boundary value problems
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      – TitleFull: Algorithm 461 Cubic Spline Solutions to a Class of Functional Differential Equations [D2].
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              Text: Oct73
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              Y: 1973
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