×

A novel finite element method for two-point boundary value problems. (English) Zbl 0392.65029

MSC:

65L10 Numerical solution of boundary value problems involving ordinary differential equations
34B10 Nonlocal and multipoint boundary value problems for ordinary differential equations
34B15 Nonlinear boundary value problems for ordinary differential equations
Full Text: DOI

References:

[1] Ben-Israel, A.; Greville, T. N.E., Generalized Inverses: Theory and Applications (1974), John Wiley: John Wiley New York · Zbl 0305.15001
[2] Collatz, L., The Numerical Treatment of Differential Equations (1966), Springer-Verlag: Springer-Verlag New York · Zbl 0221.65088
[3] Csendes, Z. J., A Finite Element Method for the General Solution of Ordinary Differential Equations, Int. J. for Numerical Methods in Engineering, Vol. 9, 551-561 (1975) · Zbl 0301.65041
[4] Csendes, Z. J., A Fortran Program to Generate Finite Difference Formulas, Int. J. for Numerical Methods in Engineering, Vol. 9, 581-599 (1975) · Zbl 0301.65052
[5] Csendes, Z. J.; Gopinath, A.; Silvester, P., Generalized Matrix Inverse Techniques for Local Approximations of Operator Equations, (Whiteman, J. R., The Mathematics of Finite Elements and Applications (1973), Academic Press: Academic Press London), 189-199 · Zbl 0279.65093
[6] Rall, L. B., Computational Solution of Non-linear Operator Equations (1969), John Wiley: John Wiley New York · Zbl 0175.15804
[7] Rao, C. R.; Mitra, S. K., Generalized Inverse of Matrices and Its Applications (1971), John Wiley: John Wiley New York · Zbl 0236.15004
[8] Scott, M. R.; Watts, H. A., A Systematized Collection of Codes for Solving Two-Point Boundary-Value Problems, (Lapidus, L.; Schiesser, W. E., Numerical Methods for Differential Systems (1976), Academic Press: Academic Press New York), 197-227
[9] Troesch, B. A., A Simple Approach to a Sensitive Two-Point Boundary Value Problems, J. of Computational Physics, Vol.21, 279-290 (1976) · Zbl 0334.65063
[10] Thompson, C. L.; Weilti]Reducing the Rank of (A−λB), R. L., Proc. America Math. Soc., Vol. 26, 548-554 (1970) · Zbl 0221.15006
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.