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Variational formulation for a generalized third order equation | ||
| Journal of Computational Applied Mechanics | ||
| دوره 55، شماره 4، دی 2024، صفحه 711-716 اصل مقاله (190.86 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22059/jcamech.2024.379031.1149 | ||
| نویسندگان | ||
| Shao Yabin1؛ JI-Huan He* 1، 2؛ Abdulrahman Ali Alsolami3 | ||
| 1School of Jia Yang, Zhejiang Shuren University, Shaoxing 312028, China | ||
| 2National Engineering Laboratory for Modern Silk, College of Textile and Clothing Engineering, Soochow University, 199 Ren-Ai Road, Suzhou Industrial Park, Suzhou 215123, China | ||
| 3Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia | ||
| چکیده | ||
| A universal formulation is obtained for the construction of a variational principle for a general third-order differential equation, regardless of its self-adjoint condition. Three illustrative examples are provided to demonstrate the convenience and efficacy of the proposed formulation. A universal formulation is obtained for the construction of a variational principle for a general third-order differential equation, regardless of its self-adjoint condition. Three illustrative examples are provided to demonstrate the convenience and efficacy of the proposed formulation. A universal formulation is obtained for the construction of a variational principle for a general third-order differential equation, regardless of its self-adjoint condition. Three illustrative examples are provided to demonstrate the convenience and efficacy of the proposed formulation. A universal formulation is obtained for the construction of a variational principle for a general third-order differential equation, regardless of its self-adjoint condition. Three illustrative examples are provided to demonstrate the convenience and efficacy of the proposed formulation. A universal formulation is obtained for the construction of a variational principle for a general third-order differential equation, regardless of its self-adjoint condition. Three illustrative examples are provided to demonstrate the convenience and efficacy of the proposed formulation. A universal formulation is obtained for the construction of a variational principle for a general third-order differential equation, regardless of its self-adjoint condition. Three illustrative examples are provided to demonstrate the convenience and efficacy of the proposed formulation. | ||
| کلیدواژهها | ||
| variational principle؛ semi-inverse method؛ KdV equation | ||
| مراجع | ||
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