IJAM: Volume 37, No. 6 (2024)

DOI: 10.12732/ijam.v37i6.1

ON A SYMBOLIC METHOD FOR

SECOND-ORDER BOUNDARY VALUE

PROBLEMS OVER ALGEBRAS

Srinivasarao Thota 1, Tanneeru Gopisairam 2,§

1,2 Department of Mathematics

Amrita School of Physical Sciences

Amrita Vishwa Vidyapeetham, Amaravati

Andhra Pradesh–522503, INDIA

Abstract. This study presents a symbolic approach for solving second order boundary value problems with Stieltjes boundary conditions (integral, differential and generic boundary conditions). The proposed symbolic method computes the Green’s operator and the Green’s function of the provided boundary value problem on the level of operators by applying the algebra of integro-differential operators. The suggested algorithm will aid in implementing manual calculations in mathematical software programs like Mathematica, Matlab, Singular, Scilab, Maple and others.

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How to cite this paper?
DOI: 10.12732/ijam.v37i6.1
Source: International Journal of Applied Mathematics
ISSN printed version: 1311-1728
ISSN on-line version: 1314-8060
Year: 2024
Volume: 37
Issue: 6

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