| contributor author | C. A. Bell | |
| contributor author | F. C. Appl | |
| date accessioned | 2017-05-09T01:35:43Z | |
| date available | 2017-05-09T01:35:43Z | |
| date copyright | December, 1973 | |
| date issued | 1973 | |
| identifier issn | 0021-8936 | |
| identifier other | JAMCAV-25994#1097_1.pdf | |
| identifier uri | http://yetl.yabesh.ir/yetl/handle/yetl/163371 | |
| description abstract | A new method has been developed for finding rigorous upper and lower bounds to the solution of a wide class of initial value problems. The method is applicable to initial value problems of the following type: ẍ(t) + f(t, x, ẋ) = 0, x(0) = X0, ẋ(0) = V0, where f is continuous with continuous first derivatives, Lipschitzian, and ∂f/∂x ≥ 0. An original bounding theorem has been formulated and proven and a numerical technique has been developed for finding the bounding functions in analytic form as linear combinations of Tchebyshev polynomials. The method has been applied to several problems of engineering interest. | |
| publisher | The American Society of Mechanical Engineers (ASME) | |
| title | Bounds for Initial Value Problems | |
| type | Journal Paper | |
| journal volume | 40 | |
| journal issue | 4 | |
| journal title | Journal of Applied Mechanics | |
| identifier doi | 10.1115/1.3423132 | |
| journal fristpage | 1097 | |
| journal lastpage | 1102 | |
| identifier eissn | 1528-9036 | |
| keywords | Theorems (Mathematics) | |
| keywords | Functions AND Polynomials | |
| tree | Journal of Applied Mechanics:;1973:;volume( 040 ):;issue: 004 | |
| contenttype | Fulltext | |