On Asymptotic Approximations to a Class of Regular Perturbation ProblemsSource: Journal of Tribology:;1977:;volume( 099 ):;issue: 003::page 369Author:D. A. MacDonald
DOI: 10.1115/1.3453226Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: A new approach to a class of regular perturbation problems of common occurrence in lubrication theory is presented. The approach is not dependent on extensive algebraic manipulation and predicts results which, apart from numerical rounding error, are in exact agreement with standard theory. Three illustrative examples are studied in detail and it is demonstrated that asymptotic approximations obtained through use of the approach can be of a substantially higher order than approximations at present in the literature.
keyword(s): Approximation , Errors AND Lubrication theory ,
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| contributor author | D. A. MacDonald | |
| date accessioned | 2017-05-08T23:03:51Z | |
| date available | 2017-05-08T23:03:51Z | |
| date copyright | July, 1977 | |
| date issued | 1977 | |
| identifier issn | 0742-4787 | |
| identifier other | JOTRE9-28611#369_1.pdf | |
| identifier uri | http://yetl.yabesh.ir/yetl/handle/yetl/90462 | |
| description abstract | A new approach to a class of regular perturbation problems of common occurrence in lubrication theory is presented. The approach is not dependent on extensive algebraic manipulation and predicts results which, apart from numerical rounding error, are in exact agreement with standard theory. Three illustrative examples are studied in detail and it is demonstrated that asymptotic approximations obtained through use of the approach can be of a substantially higher order than approximations at present in the literature. | |
| publisher | The American Society of Mechanical Engineers (ASME) | |
| title | On Asymptotic Approximations to a Class of Regular Perturbation Problems | |
| type | Journal Paper | |
| journal volume | 99 | |
| journal issue | 3 | |
| journal title | Journal of Tribology | |
| identifier doi | 10.1115/1.3453226 | |
| journal fristpage | 369 | |
| journal lastpage | 375 | |
| identifier eissn | 1528-8897 | |
| keywords | Approximation | |
| keywords | Errors AND Lubrication theory | |
| tree | Journal of Tribology:;1977:;volume( 099 ):;issue: 003 | |
| contenttype | Fulltext |