The solution of the first interior Fourier's problem with application of spline functions

Zdzisław Jabłoński. "The solution of the first interior Fourier's problem with application of spline functions." Mathematica Applicanda 13.25 (1985): null. <http://eudml.org/doc/293136>.

@article{ZdzisławJabłoński1985,
abstract = {Volterra's integral equation (which arises from the first interior Fourier's problem) by spline functions of the cubic polinomials. Namely, the approximate solution of this equation is represented in the form of linear combination of spline functions, which are forming the distributions of unity within the segments [0, 2] and [0,t] respectively. The error of approximation we associate on natural way with perfectin of considered distributions of unity. The estimation of the error is given at the end of the paper.},
author = {Zdzisław Jabłoński},
journal = {Mathematica Applicanda},
keywords = {Integral equations, Numerical analysis},
language = {eng},
number = {25},
pages = {null},
title = {The solution of the first interior Fourier's problem with application of spline functions},
url = {http://eudml.org/doc/293136},
volume = {13},
year = {1985},
}

TY - JOUR
AU - Zdzisław Jabłoński
TI - The solution of the first interior Fourier's problem with application of spline functions
JO - Mathematica Applicanda
PY - 1985
VL - 13
IS - 25
SP - null
AB - Volterra's integral equation (which arises from the first interior Fourier's problem) by spline functions of the cubic polinomials. Namely, the approximate solution of this equation is represented in the form of linear combination of spline functions, which are forming the distributions of unity within the segments [0, 2] and [0,t] respectively. The error of approximation we associate on natural way with perfectin of considered distributions of unity. The estimation of the error is given at the end of the paper.
LA - eng
KW - Integral equations, Numerical analysis
UR - http://eudml.org/doc/293136
ER -