Abstract
A finite difference method for numerical solution of the inverse problem of heat transfer in a soil is described with an emphasis on algorithmic and software implementation issues. A mathematical package Matlab v.5.3 is chosen for the method implementation as it includes a number of matrix procedures with special measures for sparce matrices. Field experiments data obtained from the Lithuanian Institute of Agriculture are used to provide an input information and to calculate identification criteria at each iteration step. Typical numerical results of inverse problem solution and investigation of algorithm convergation process are presented and discussed in detail.
Highlights
ËÌÊ ÌÓÑÔÐ Ü × ÑÙÐ Ø ÓÒ ÑÓ Ð× Ó ÖÓ Ó×Ý×Ø Ñ× ÝÒ Ñ × Ö Û ÐÝ Ù× Ò Ö ÙÐØÙÖ Ð ÔÔÐ Ø ÓÒ× ÓÖ ÖÓÒÓÑ × ÓÒ ×ÙÔÔÓÖØ Ò ÓÔ Ö Ø ÓÒ Ð ÖÓÔ Ñ Ò Ñ ÒØ Ö ÙÐØÙÖ Ð Ñ Ö Ø ÔÖ Ø ÓÒ× Ò ØÖ Ò Ò Ó ×Ô Ð ×Ø× 1⁄2 o ÌÓ ÔÔÐ Ò Ö ÒØ ÒÚ ÖÓÒÑ ÒØ× Ø × ÑÓ Ð× × ÓÙÐ ÒØooØÖÔÖÑØÖ× × ÓÙÐ ×Ø Ñ Ø ÓÖ Ò ØÓ Ø ÐÓ Ð ×Ó Ð ÔÐ ÒØ Ò Ð Ñ Ø ÓÒ Ø ÓÒ×o Ñ Ø Ó ÔÖ × ÒØ ÐÓÛ × × Ò ØÓ Ø × ÔÙÖÔÓ× Ò × × Ö ÓÒ Ô ÖØ ÙÐ Ö Ü ÑÔÐ Ó ÔÖÓ ×× Ó Ø ØÖ Ò× Ö Ò ×Ó Ðo ÁÒ ØÝÔ Ð × ÑÙÐ Ø ÓÒ ÑÓ Ð Ó ÖÓ Ó×Ý×Ø Ñ× ÝÒ Ñ × 1⁄2 ÔÖÓ ×× Ó Ø ØÖ Ò× Ö Ò ×Ó Ð × × Ö Ý Ø ÕÙ Ø ÓÒ
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Summary
ÓÑÔÐ Ü × ÑÙÐ Ø ÓÒ ÑÓ Ð× Ó ÖÓ Ó×Ý×Ø Ñ× ÝÒ Ñ × Ö Û ÐÝ Ù× Ò Ö ÙÐØÙÖ Ð ÔÔÐ Ø ÓÒ× ÓÖ ÖÓÒÓÑ × ÓÒ ×ÙÔÔÓÖØ Ò ÓÔ Ö Ø ÓÒ Ð ÖÓÔ Ñ Ò Ñ ÒØ Ö ÙÐØÙÖ Ð Ñ Ö Ø ÔÖ Ø ÓÒ× Ò ØÖ Ò Ò Ó ×Ô Ð ×Ø× 1⁄2 o ÌÓ ÔÔÐ Ò Ö ÒØ ÒÚ ÖÓÒÑ ÒØ× Ø × ÑÓ Ð× × ÓÙÐ ÒØooØÖÔÖÑØÖ× × ÓÙÐ ×Ø Ñ Ø ÓÖ Ò ØÓ Ø ÐÓ Ð ×Ó Ð ÔÐ ÒØ Ò Ð Ñ Ø ÓÒ Ø ÓÒ×o Ñ Ø Ó ÔÖ × ÒØ ÐÓÛ × × Ò ØÓ Ø × ÔÙÖÔÓ× Ò × × Ö ÓÒ Ô ÖØ ÙÐ Ö Ü ÑÔÐ Ó ÔÖÓ ×× Ó Ø ØÖ Ò× Ö Ò ×Ó Ðo ÁÒ ØÝÔ Ð × ÑÙÐ Ø ÓÒ ÑÓ Ð Ó ÖÓ Ó×Ý×Ø Ñ× ÝÒ Ñ × 1⁄2 ÔÖÓ ×× Ó Ø ØÖ Ò× Ö Ò ×Ó Ð × × Ö Ý Ø ÕÙ Ø ÓÒ
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