Journal of Computational Applied Mechanics

Variational formulation for a generalized third order equation

Document Type : Research Paper

Authors

1 School of Jia Yang, Zhejiang Shuren University, Shaoxing 312028, China

2 National Engineering Laboratory for Modern Silk, College of Textile and Clothing Engineering, Soochow University, 199 Ren-Ai Road, Suzhou Industrial Park, Suzhou 215123, China

3 Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia

Abstract

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.

Keywords

Main Subjects

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Journal of Computational Applied Mechanics
Volume 55, Issue 4
October 2024
Pages 711-716
  • Receive Date: 06 July 2024
  • Accept Date: 06 July 2024