Solving a class of boundary value problems and fractional Boussinesq-like equation with β-derivatives by fractional-order exponential trial functions

作     者：Mohammad Parto-Haghighi Jalil Manafian 

作者机构：Department of MathematicsUniversity of BonabBonabIran Department of Applied MathematicsFaculty of Mathematical ScienceUniversity of TabrizTabrizIran 

出 版 物：《Journal of Ocean Engineering and Science》 (海洋工程与科学（英文）)

年 卷 期：2020年第5卷第3期

页      面：197-204页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

主　　题：Fractional order exponential trial functions BVPs Adjoint test functions Weak-form integral equation method Two-point boundary value problem Fractional Boussinesq-like equation 

摘      要：The nonlinear two-point boundary value problem(TPBVP)is converted to a new form of the problem including integral *** the combination of weak-form integral equation method(WFIEM)and special functions create a robust and applicable numerical scheme to solve the *** display the accuracy of our method,some examples are ***,the fractional Boussinesq-like equation involving the β-derivative has been considered that describes the propagation of small amplitude long capillary-gravity waves on the surface of shallow water.