Numerical evaluation of inverse integral transforms: Dynamic response of elastic materials
| العنوان: | Numerical evaluation of inverse integral transforms: Dynamic response of elastic materials |
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| المؤلفون: | M.D. Sharma, S. Nain |
| المصدر: | International Journal of Engineering, Science and Technology. 12:29-34 |
| بيانات النشر: | African Journals Online (AJOL), 2020. |
| سنة النشر: | 2020 |
| مصطلحات موضوعية: | symbols.namesake, Fourier transform, Series (mathematics), Romberg's method, Improper integral, symbols, Inverse, Applied mathematics, Inverse Laplace transform, Integral transform, Mathematics, Numerical integration |
| الوصف: | This study discusses the use of numerical integration in evaluating the improper integrals appearing as inverse integral transforms of non-analytic functions. These transforms appear while studying the response of various sources in an elastic medium through integral transform method. In these studies, the inverse Fourier transforms are solved numerically without bothering about the singularities and branch points in the corresponding integrands. References on numerical integration cited in relevant papers do not support such an evaluation but suggest contrary. Approximation of inverse Laplace transform integral into a series is used without following the essential restrictions and assumptions. Volume of the published papers using these dubious procedures has reached to an alarming level. The discussion presented aims to draw the attention of researchers as well as journals so as to stop this menace at the earliest possible.Keywords: Inverse Fourier transforms, inverse Laplace transforms, Romberg integration, improper integral, elastic waves |
| تدمد: | 2141-2839 2141-2820 |
| DOI: | 10.4314/ijest.v12i2.4 |
| URL الوصول: | https://explore.openaire.eu/search/publication?articleId=doi_________::4f558c44a904b8e0c9af0d2358e39bf0 https://doi.org/10.4314/ijest.v12i2.4 |
| Rights: | OPEN |
| رقم الانضمام: | edsair.doi...........4f558c44a904b8e0c9af0d2358e39bf0 |
| قاعدة البيانات: | OpenAIRE |
| تدمد: | 21412839 21412820 |
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| DOI: | 10.4314/ijest.v12i2.4 |