scholarly journals Killing Tensors and Variable Separation for Hamilton-Jacobi and Helmholtz Equations

1980 ◽  
Vol 11 (6) ◽  
pp. 1011-1026 ◽  
Author(s):  
E. G. Kalnins ◽  
Willard Miller, Jr.
Keyword(s):  
Variable Separation ◽  
Helmholtz Equations ◽  
Killing Tensors

scholarly journals Killing tensors on tori

2017 ◽  
Vol 117 ◽  
pp. 1-6
Author(s):  
Konstantin Heil ◽  
Andrei Moroianu ◽  
Uwe Semmelmann
Keyword(s):  
Killing Tensors

New variable separation solutions to the (2 + 1)-dimensional Burgers equation

2016 ◽  
Vol 273 ◽  
pp. 1271-1275 ◽  
Author(s):  
Lijuan Yang ◽  
Xianyun Du ◽  
Qiongfen Yang
Keyword(s):  
Burgers Equation ◽  
Variable Separation

scholarly journals An efficient approach for solution of fractional-order Helmholtz equations

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Nehad Ali Shah ◽  
Essam R. El-Zahar ◽  
Mona D. Aljoufi ◽  
Jae Dong Chung
Keyword(s):  
Perturbation Method ◽  
Fractional Order ◽  
Homotopy Perturbation Method ◽  
Hybrid Technique ◽  
Science And Engineering ◽  
Helmholtz Equations ◽  
Transform Method ◽  
Homotopy Perturbation ◽  
Suggested Technique ◽  
Present Technique

AbstractIn this article, a hybrid technique called the homotopy perturbation Elzaki transform method has been implemented to solve fractional-order Helmholtz equations. In the hybrid technique, the Elzaki transform method and the homotopy perturbation method are amalgamated. Three problems are solved to validate and demonstrate the efficacy of the present technique. It is also demonstrated that the results obtained from the suggested technique are in excellent agreement with the results by other techniques. It is shown that the proposed method is efficient, reliable and easy to implement for various related problems of science and engineering.

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