Solving Bi-harmonic Cauchy problem using a meshless collocation method
DOI:
https://doi.org/10.24237/ASJ.02.01.694EAbstract
In this article a fourth order differential boundary value problem is solved using a mesh less collocation method. The efficiency of the proposed methods is illustrated by solving problems with some examples of a polynomial and Non polynomial exact solutions and by using Conjugate gradient method and Conjugate gradient Least square algorithms and the numerical stability is verified by using a noise for the input boundary data.
References
K. Kaur, V. Kumar, A. Sharma, G. Gupta, Eur. J. Med. Chem. 77, 121–133 (2014)
T. Zhang, M. Dong, J. Zhao, X. Zhang, X. Mei, J. Pestic. Sci. 44, 181–185 (2019)
P. Patil, A. Thakur, A. Sharma, S. Flora, Drug Dev. Res. 81, 165–183 (2020)
M. Aarjane, S. Slassi, A. Ghaleb, B. Tazi, A. Amine, Arabian J. Chem. 14, 103057 (2021)
G. Kumar, R. Shankar, Chemmedchem 16, 430–447 (2021)
X. Wang, Q. Hu, H. Tang, X. Pan, Pharmaceu. 16, 228 (2023)
Y. Guo, Q. Zhang, Z. Liu, C. Bao, J. Fan, R. Yang, Ind. Crops Prod. 140, 111706 (2019)
H. Xu, K. Zhang, M. Lv, M. Hao, J. Agric. Food Chem. 69, 8098–8109 (2021)
Z. Liu, M. Han, X. Yan, W. Cheng, Z. Tang, L. Cui, R. Yang, Y. Guo, J. Agric. Food Chem. 70, 7921–7928 (2022)
A. Oubella, A. Taia, S. Byadi, M. Lahcen, A. Bimoussa, M. Essaber, C. Podlipnik, H. Morjani, M. Itto, A. Aatif, J. Biomol. Struct. Dyn. 40, 1–13 (2022).
A. Phanumartwiwath, C. Kesornpun, S. Sureram, P. Hongmanee, P. Pungpo, P. Kamsri, A. Punkvang, C. Eurtivong, P. Kittakoop, S. Ruchirawat, J. Chem. Res. 45, 1003–1015 (2021)
D. Patil, M. Chincholkar, and N. Dighade, Asian J. Chem.,15, 1, 450 (2003)
K. Kumar and P. Jayaroopa, Int. J. Pharm. Chem. Biol. Sci, 3, 294–304 (2013)
A. Quilico, G. Alcontres, and P. Grünanger, Nature, 166, 4214, 226–227, (1950)
K. Kumar, M. Govindaraju, N. Renuka, and G. Vasanth Kumar, J. Chem. Pharm. Res., 7, 3, 250–257 (2015)
S. Bhosale, S. Kurhade, U. Prasad, V. Palle, and D. Bhuniya, Tetrahedron Lett., 50, 27, 3948–3951 (2009)
V. Govindappa, J. Prabhashankar, B. Khatoon, M. Nigappa, and A. Kariyappa, Der Pharma Chem., 4, 6, 2283–2287 (2012)
K. Umesha, K. Ajay Kumar, and K. Lokanatha Rai, Synth. Commun., 32, 12, 1841–1846 (2002)
A. Kumar and P. Jayaroopa, Int. J. Pharm. Chem. Biol. Sci., 3, 2, 294–304 (2013)
V. Kadnor, G. Pandhare, A. Gadhave, and B. Uphade, Rasayan J. Chem.,4, 2, 437–441 (2011)
G. Wang, Z. Chen, and X. Huang, Chinese Chem. Lett., 16, 8, 995 (2005)
A. Saad, M. Vaultier, and A. Derdour, Molecules, 9, 7, 527–534, (2004)
M. Mirzazadeh and G. Mahdavinia, E-Journal Chem., 9, 1, 425–429 (2012)
S. Gosavi, D. Nandal, and S. Pawar, Asian J. Chem., 31,12, 1760–1772 (2019)
N. Shah, A. Biradar, S. Habib, J. Dhole, M. Baseer, and P. Kulkarni, Der Pharma Chem., 3, 1, 167–171 (2011)
S. Dadiboyena and A. Nefzi, Tetrahedron Lett., 53, 16, 2096–2099, (2012)
H. Wang, R. Cheng , G. Wang, Y. Shi, J. Wang, H. Guo, L. Trigoura, Y. Xing, S. sun, Tetrahedron Lett., 61, 12, 151652 (2020)
Y. Lin, K. Zhang, M. Gao, Z. Jiang, J. Liu, Y. Ma, H. Wang, Org. Biomol. Chem., 17, 22, 5509–5513 (2019)
R. Sakly, H. Edziri, M. Askri, M. Knorr, K. Louven, C. Strohmann, M. Mastouri, J. Heterocycl. Chem., 54, 6, 3554–3564 (2017)
K. Kaur, M. Jain, R. Reddy, and R. Jain, Eur. J. Med. Chem., 45, 8, 3245–3264 (2010)
D. Mungra, M. Patel, D. Rajani, and R. Patel, Eur. J. Med. Chem., 46, 9, 4192–4200 (2011)
H. Pellissier, Chem. Rev., 113, 1, 442–524 (2013)
E. Dilli, M. Mastan, and T. Sobha, Der Pharm. Lett., 4, 5, 1431–1437 (2012)
M. Panchegowda, S. Nanjunda, K. Aryan, M. Sengottuvelan, D. Shivaramu, N. Chikkagundagal, G. Sethi, K. Sugahara, K. Subbegowda, BMC Chem. Biol., 12, (2012)
J. Khazir, P. Pal, D. Mahendhar, I. Hyder, S. Shafi, S. Sawant, G. Chashoo, A. Mahajan, M. Alam, A. Saxena, S. Arvinda, B. Gupta, H. Sampath Eur. J. Med. Chem., 63, 279–289 (2013)
M. Nikam, P. Mahajan, M. Damale, J. Sangshetti, S.. Dabhade, D. Shinde & C. Gill, Med. Chem. Res., 24, 9, 3372–3386, (2015)
V. Verma, Russ. J. Gen. Chem., 88, 12, 2628–2645 (2018)
K. Chikkula, Int. J. Pharm. Pharm. Sci., 9, 7, 13 (2017)
R. Dawood, K. Ahmed, Tikrit J. Pure Sci. 20, 2, 121- 127 (2015)
Y. Rhazi, M. Chalkha, A. Nakkabi, I. Hammoudan, M. Akhazzane, M. Bakhouch, S. Chtita, M. El Yazidi, Chem. 4, 969–982 (2022)
X. Zhou, A. Hohman, W. Hsu, J. Am. Vet. Med. Assoc. 256, 1342–1346 (2020)
V. Palmieri,| W. Dodds, J. Morgan, E. Carney, H. Fritsche, J. Jeffrey, R. Bullock, J. Kimball, Vet Med Sci. 6, 933–945(2020)
X. Zhou, A. Hohman, W. Hsu, J. Vet. Pharmacol. Therap. 45, 1–15 (2022)
Downloads
Published
How to Cite
Issue
Section
License
Copyright (c) 2024 CC BY 4.0
This work is licensed under a Creative Commons Attribution 4.0 International License.
