Spline-galerkin methods for initial-value problems with constant coefficients

1974 ◽  
pp. 164-175 ◽  
Author(s):  
Vidar Thomée
Keyword(s):  
Initial Value Problems ◽  
Galerkin Methods ◽  
Initial Value ◽  
Constant Coefficients

scholarly journals Numerical solution of linear differential equations by Walsh polynomials approach

2020 ◽  
Vol 57 (2) ◽  
pp. 217-254
Author(s):  
◽  
Rodolfo Toledo
Keyword(s):  
Differential Equations ◽  
Numerical Solution ◽  
Harmonic Analysis ◽  
Initial Value Problems ◽  
Linear Differential Equations ◽  
Previous Article ◽  
Initial Value ◽  
Constant Coefficients ◽  
Linear Differential

AbstractIn 1975 C. F. Chen and C. H. Hsiao established a new procedure to solve initial value problems of systems of linear differential equations with constant coefficients by Walsh polynomials approach. However, they did not deal with the analysis of the proposed numerical solution. In a previous article we study this procedure in case of one equation with the techniques that the theory of dyadic harmonic analysis provides us. In this paper we extend these results through the introduction of a new procedure to solve initial value problems of differential equations with not necessarily constant coefficients.

Mathematical Models of Papermaking

2001 ◽  
Vol 6 (1) ◽  
pp. 9-19 ◽  
Author(s):  
A. Buikis ◽  
J. Cepitis ◽  
H. Kalis ◽  
A. Reinfelds ◽  
A. Ancitis ◽  
...  
Keyword(s):  
Mathematical Model ◽  
Initial Value Problems ◽  
Moisture Transfer ◽  
Bound Water ◽  
Drying Process ◽  
Initial Value ◽  
First Order ◽  
Heat And Moisture ◽  
The Mathematical Model ◽  
The Web

The mathematical model of wood drying based on detailed transport phenomena considering both heat and moisture transfer have been offered in article. The adjustment of this model to the drying process of papermaking is carried out for the range of moisture content corresponding to the period of drying in which vapour movement and bound water diffusion in the web are possible. By averaging as the desired models are obtained sequence of the initial value problems for systems of two nonlinear first order ordinary differential equations. 

Penalized weighted residual method for the initial value problems

AIAA Journal ◽  
1997 ◽  
Vol 35 ◽  
pp. 172-177
Author(s):  
Seung J. Kim ◽  
Jin Y. Cho
Keyword(s):  
Initial Value Problems ◽  
Weighted Residual Method ◽  
Initial Value ◽  
Residual Method
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