Usman, Muhammad; Hamid, Muhammad; Lu, Dianchen; Zhang, Zhengdi Innovative coupling of \(\mathrm{s}\)-stage one-step and spectral methods for non-smooth solutions of nonlinear problems. (English) Zbl 07901889 Appl. Numer. Math. 204, 329-351 (2024). MSC: 65M70 65M06 65L06 65N35 65M12 65M15 33C45 35Q53 × Cite Format Result Cite Review PDF Full Text: DOI
Usman, Muhammad; Hamid, Muhammad; Lu, Dianchen; Zhang, Zhengdi Non-smooth solutions of time-fractional Allen-Cahn problems via novel operational matrix based semi-spectral method with convergence analysis. (English) Zbl 07824625 Comput. Math. Appl. 159, 122-141 (2024). MSC: 65-XX 93-XX × Cite Format Result Cite Review PDF Full Text: DOI
Singh, Inderdeep; Kaur, Manbir 2D-wavelets based efficient scheme for solving some PDEs. (English) Zbl 1513.65488 Adv. Differ. Equ. Control Process. 29, 27-45 (2022). MSC: 65N35 65T60 × Cite Format Result Cite Review PDF Full Text: DOI
Tiwari, Diksha; Verma, Amit K.; Cattani, Carlo Wavelet solution of a strongly nonlinear Lane-Emden equation. (English) Zbl 1515.65342 J. Math. Chem. 60, No. 10, 2054-2080 (2022). MSC: 65T60 34B16 × Cite Format Result Cite Review PDF Full Text: DOI
Usman, Muhammad; Hamid, Muhammad; Liu, Moubin Novel operational matrices-based finite difference/spectral algorithm for a class of time-fractional Burger equation in multidimensions. (English) Zbl 1498.65177 Chaos Solitons Fractals 144, Article ID 110701, 20 p. (2021). MSC: 65M70 35R11 65M12 × Cite Format Result Cite Review PDF Full Text: DOI
Usman, Muhammad; Hamid, Muhammad; Khalid, Muhammad Saif Ullah; Ul Haq, Rizwan; Liu, Moubin A robust scheme based on novel-operational matrices for some classes of time-fractional nonlinear problems arising in mechanics and mathematical physics. (English) Zbl 07777661 Numer. Methods Partial Differ. Equations 36, No. 6, 1566-1600 (2020). MSC: 65-XX 35-XX × Cite Format Result Cite Review PDF Full Text: DOI
Chatterjee, Avipsita; Basu, Uma; Mandal, B. N. Numerical algorithm based on Bernstein polynomials for solving boundary value problems involving singular, singularly perturbed type differential equations. (English) Zbl 1465.65060 Int. J. Adv. Appl. Math. Mech. 5, No. 3, 1-14 (2018). MSC: 65L10 34B05 34B15 65L11 65L60 × Cite Format Result Cite Review PDF Full Text: Link