Araştırma Makalesi
Yıl 2023,
Cilt: 15 Sayı: 2, 218 - 226, 31.12.2023
Öz
In this paper, we introduce a new method for solving some partial differential equations called double Laplace-Shehu transform, some useful properties for the transform are presented. In addition, we use this transform to solve the Laplace, Poisson, Wave and Heat equations and find Laplace-Shehu transform for some functions.
Anahtar Kelimeler
Double Laplace-Shehu transform Laplace transform Shehu transform partial differential equations
Kaynakça
- Aggarwal, S., Singh, A., Kumar, A., Kumar, N., Application of Laplace transform for solving improper integrals whose integrand consisting error function, Journal of Advanced Research in Applied Mathematics and Statistics, 4(2019), 1–7.
- Ahmed, S.A., Elzaki, T.M., Elbadri, M., Mohamed, M., Solution of partial differential equations by new double integral transform (Laplace -Sumudu transform), Ain Shams Engineering Journal, 12(2021), 4045–4049.
- Albukhuttar, A., Jubear, B., Neamah, M., Solve the Laplace, Poisson and telegraph equations using the Shehu transform, Turkish Journal of Computer and Mathematics Education, Turkey, 10(2021), 1759–1768.
- Albukhuttar, A., Ridha, Z., Kadhim, H., Applications of a Shehu transform to the heat and transport equations, International Journal of Psychosocial Rehabilitation, 24(2020), 4254–4263.
- Alfaqeih, S., Misirli, E., On double Shehu transform and its properties with applications, International Journal of Analysis and Applications, 3(2020), 381–395.
- Alkaleeli, S., Mtawal, A., Hmad, M., Triple Shehu transform and its properties with applications, African Journal of Mathematics and Computer, 14(2021), 4–12.
- Debnath, L., The double Laplace transforms and their properties with applications to functional, integral and partial differential equations, Int. J. Appl. Comput. Math, 2(2016), 223–241.
- Dhunde, R.,Waghmare, G., Double Laplace transform method in mathematical physics, International Journal of Theoretical and Mathematical Physics, 7(2017), 14–20.
- Eltayeb, H., Kilicman, A., A note on solutions of wave, Laplace’s and heat equations with convolution terms by using a double Laplace transform, Applied Mathematics Letters 21(2008), 1324–1329.
- Lakmon, K., Mensah, Y., The Plancherel formula for the Shehu transform, Annals of Pure and Applied Mathematical Sciences, 1(2021) 14–19.
- Maitama, S., Zhao, W., New integral transfrom: Shehu transform a generalizattion of Sumudu and Laplace transfrom for solving differential equations, International Journal of Analysis and Applications, 17(2019), 167–190.
Yıl 2023,
Cilt: 15 Sayı: 2, 218 - 226, 31.12.2023
Öz
Kaynakça
- Aggarwal, S., Singh, A., Kumar, A., Kumar, N., Application of Laplace transform for solving improper integrals whose integrand consisting error function, Journal of Advanced Research in Applied Mathematics and Statistics, 4(2019), 1–7.
- Ahmed, S.A., Elzaki, T.M., Elbadri, M., Mohamed, M., Solution of partial differential equations by new double integral transform (Laplace -Sumudu transform), Ain Shams Engineering Journal, 12(2021), 4045–4049.
- Albukhuttar, A., Jubear, B., Neamah, M., Solve the Laplace, Poisson and telegraph equations using the Shehu transform, Turkish Journal of Computer and Mathematics Education, Turkey, 10(2021), 1759–1768.
- Albukhuttar, A., Ridha, Z., Kadhim, H., Applications of a Shehu transform to the heat and transport equations, International Journal of Psychosocial Rehabilitation, 24(2020), 4254–4263.
- Alfaqeih, S., Misirli, E., On double Shehu transform and its properties with applications, International Journal of Analysis and Applications, 3(2020), 381–395.
- Alkaleeli, S., Mtawal, A., Hmad, M., Triple Shehu transform and its properties with applications, African Journal of Mathematics and Computer, 14(2021), 4–12.
- Debnath, L., The double Laplace transforms and their properties with applications to functional, integral and partial differential equations, Int. J. Appl. Comput. Math, 2(2016), 223–241.
- Dhunde, R.,Waghmare, G., Double Laplace transform method in mathematical physics, International Journal of Theoretical and Mathematical Physics, 7(2017), 14–20.
- Eltayeb, H., Kilicman, A., A note on solutions of wave, Laplace’s and heat equations with convolution terms by using a double Laplace transform, Applied Mathematics Letters 21(2008), 1324–1329.
- Lakmon, K., Mensah, Y., The Plancherel formula for the Shehu transform, Annals of Pure and Applied Mathematical Sciences, 1(2021) 14–19.
- Maitama, S., Zhao, W., New integral transfrom: Shehu transform a generalizattion of Sumudu and Laplace transfrom for solving differential equations, International Journal of Analysis and Applications, 17(2019), 167–190.
Toplam 11 adet kaynakça vardır.
Ayrıntılar
| Birincil Dil | İngilizce |
|---|---|
| Konular | Matematik |
| Bölüm | Makaleler |
| Yazarlar | |
| Yayımlanma Tarihi | 31 Aralık 2023 |
| Yayımlandığı Sayı | Yıl 2023 Cilt: 15 Sayı: 2 |