References
- Ahmad B, Perviz A, Ahmad MO, Dayan F. Solution of Parabolic Partial Differential Equations Via Non-Polynomial Cubic Spline Technique. Scientific Inquiry and Review. 2021; 5(3): 60-76.
- Chawla MM, Chawla V. A cubic B-spline solution of a seventh-order boundary value problem. International Journal of Numerical Analysis and Modeling. 2015; 12(4): 689-703.
- Fang S, Ma X, Qu J, Zhang S, Lu N, Zhao X. (2020). Trajectory planning for seven-DOF robotic arm based on seventh degree polynomial. In Proceedings of 2019 Chinese Intelligent Systems Conference. 2020; Volume II 15th: 286-294. Springer Singapore.
- Iqbal MJ, Rehman S, Pervaiz A, Hakeem A. Approximations for linear tenth-order boundary value problems through polynomial and nonpolynomial cubic spline techniques. Proc. Pakistan Acad. Sci. 2015; 52(4): 389-396.
- Inc M, Akgül A. Numerical solution of seventh-order boundary value problems by a novel method. In Abstract and Applied Analysis; 2014; Hindawi.
- Khalid A, Rehan A, Nisar KS, Osman MS. Splines solutions of boundary value problems that arises in sculpturing electrical process of motors with two rotating mechanism circuit. Physica Scripta. 2021; 96(10): 104001.
- Kalyani P, Lemma MN. Solutions of seventh order boundary value problems using ninth degree spline functions and comparison with eighth degree spline solutions. Journal of applied Mathematics and physics. 2016; 4(02): 249.
- Khazaei M, Karamipour Y. Numerical Solution of the Seventh Order Boundary Value Problems Using B-Spline method; 2021. arXiv preprint: 2109.06030.
- Mabood F, Idrees M. Homotopy perturbation method and seventh-order boundary value problems. International Journal of Applied Mathematical Research. 2013; 2(1): 70-75.
- Nikkar A, Dehghan M. A numerical technique for solving seventh-order boundary value problems using quartic B-spline functions. Applied Mathematics and Computation. 2013; 219(19): 9810-9820.
- Pervaiz A, Ahmad A, Zafar Z, Ahmad MO. numerical solution of sixth order BVPs by applying non-polynomial spline method. Pakistan Journal of Science. 2014; 66(2):110.
- Opanuga AA, Okagbue HI, Edeki SO, Agboola OO. Differential transform technique for higher order boundary value problems. Modern Applied Science. 2015; 9(13): 224-230.
- Opanuga A, Owoloko E, Agboola O, Okagbue H. Application of homotopy perturbation and modified Adomian decomposition methods for higher order boundary value problems; 2017.
- Rasekh M. An efficient numerical algorithm for solving seventh-order boundary value problems using cubic B-spline functions." Journal of Computational and Applied Mathematics. 2016; 297: 143-154.
- Ramadan MA, Lashien IF, Zahra WK. Quintic nonpolynomial spline solutions for fourth order two-point boundary value problem. Communications in Nonlinear Science and numerical Simulation. 2009; 14(4): 1105-1114.
- Rashidinia J, Khazaei M, Nikmarvani H. Spline collocation method for solution of higher order linear boundary value problems. TWMS J. Pure Appl. Math. 2015; 6(1): 38-47.
- Richards G, Sarma P. (1994). Reduced order models for induction motors with two rotor circuits. IEEE Transactions on Energy Conversion. 1994; 9(4): 673-678.
- Rubin S, Khosla P. (1976). Higher-order numerical solutions using cubic splines. AIAA Journal. 1976;14(7): 851-858.
- Siddiqi SS, Iftikhar M. Variational iteration method for the solution of seventh order boundary value problems using He’s polynomials. Journal of the Association of Arab Universities for Basic and Applied Sciences. 2015; 18: 60-65.
- Siddiqi SS, Akram G, Iftikhar M. Solution of seventh order boundary value problems by variational iteration technique. Applied Mathematical Sciences. 2012; 6(94): 4663-4672.
- Siddiqi SS, Iftikhar M. Solution of seventh order boundary value problems using Adomian decomposition method; 2013. arXiv preprint arXiv:1301.3603.
- Singh R, Pandey RK, Singh A. An efficient approach to solve seventhorder boundary value problems using cubic trigonometric B-spline. Journal of Computational and Applied Mathematics. 2020;367: 112418.
- Taiwo OA, Ogunlaran OM. A non-polynomial spline method for solving linear fourth-order boundary value problems; 2011.