Dhawan S., Kumar S., A numerical solution of one dimensional heat equation using cubic B-spline basis functions, International Journal of Research and Reviews in Applied Sciences, 1, 71–77, 2009.
Çağlar H., Özer M., Çağlar N., The numerical solution of the one-dimensional heat equation by using third degree B-spline functions, Chaos Solitons and Fractals, 38(4), 1197–1201, 2008.
Kaskar N.F., Modified implicit method for solving one dimensional heat equation, International Journal of Engineering Research in Computer Science and Engineering, 8(9), 1–6, 2021.
Suárez-Carreño F., Rosales-Romero L., Convergency and stability of explicit and implicit schemes in the simulation of the heat equation, Applied Sciences, 11(10), 4468, 2021.
Lozanda-Cruz G., Rubio-Mercedes C.E., Rodrigues-Ribeiro J., Numerical solution of heat equation with singular robin boundary condition, Tendências em Matemática Aplicada e Computacional, 19(2), 209–220, 2018.
Hooshmandasl M.R., Heydari M.H., Maalek Ghaini F.M., Numerical solution of the one-dimensional heat equation by using chebyshev wavelets method, Journal of Applied and Computational Mathematics, 1(6), 1–7, 2012.
Han F., Dai W., New higher-order compact finite difference schemes for 1D heat conduction equations, Applied Mathematical Modelling, 37(16–17), 7940–7952, 2013.
Kutluay S., Yağmurlu N.M., Karakaş A.S., An effective numerical approach based on cubic hermite b-spline collocation method for solving the 1D heat conduction equation, New Trends in Mathematical Sciences, 10(4), 20–31, 2022.
Sun H., Zhang J., A high-order compact boundary value method for solving one-dimensional heat equations, Numerical Methods for Partial Differential Equations, 19(6), 846–857, 2003.
Patel N., Pandya J.U., One-dimensional heat equation subject to both neumann and dirichlet initial boundary conditions and used a spline collocation method, Kalpa Publications in Computing, 2, 107–112, 2017.
Tarmizi T., Safitri E., Munzir S., Ramli M., On the numerical solutions of a one-dimensional heat equation: spectral and crank nicolson method, AIP Conference Proceedings 2268(050006), 2020.
Saka B., Dağ İ., Quartic b-spline collocation method to the numerical solutions of the Burgers’ equation, Chaos Solitons and Fractals, 32(3), 1125–1137, 2007.
Dağ İ., Saka B., Boz A., B-spline galerkin methods for numerical solutions of the Burgers’ equation, Applied Mathematics and Computation, 166(3), 506–522, 2005.
Ramadan M.A., El-Danaf T.S, Abd Alaal F.E.I., A numerical solution of the Burgers’ equation using septic b-splines, Chaos Solitons and Fractals, 26(4), 1249–1258, 2005.
Kumari A., Kukreja V.K., Error bounds for septic Hermite interpolation and its implementation to study modified Burgers’ equation, Numerical Algorithms, 89, 1799–1821, 2022.
Shakya P., Sinha R.K., A priori and a posteriori error estimates of finite-element approximations for elliptic optimal control problem with measure data, Optimal Control Applications and Methods, 40(2), 241–264, 2019.