SPLINES SOLUTIONS OF HIGHER-ORDER BVPs THAT ARISE IN CONSISTENT MAGNETIZED FORCE FIELD

Aasma Khalid (), Akmal Rehan (), Kottakkaran Sooppy Nisar (), Abdel-Haleem Abdel-Aty and Mohammed Zakarya
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Aasma Khalid: Department of Mathematics, GC Women University Faisalabad, Faisalabad 38023, Pakistan
Akmal Rehan: Department of Computer Science, University of Agriculture Faisalabad, Faisalabad 38023, Pakistan
Kottakkaran Sooppy Nisar: Department of Mathematics, College of Arts and Sciences, Prince Sattam Bin Abdulaziz University, Wadi Aldawasir, Saudi Arabia
Abdel-Haleem Abdel-Aty: Department of Physics, College of Sciences, University of Bisha, Bisha 61922, Saudi Arabia5Physics Department, Faculty of Science, Al-Azhar University, P.O. Box 344, Assiut 71524, Egypt
Mohammed Zakarya: Department of Mathematics, College of Science, King Khalid University, P.O. Box 9004, Abha 61413, Saudi Arabia7Department of Mathematics, Faculty of Science, Al-Azhar University, Assiut 71524, Egypt

FRACTALS (fractals), 2022, vol. 30, issue 01, 1-19

Abstract: In this paper, cubic polynomial and nonpolynomial splines are developed to solve solutions of 10th- and 12th-order nonlinear boundary value problems (BVPs). Such types of BVPs occur when a consistent magnetized force field is applied crosswise the fluid in the substance of gravitational force. We will amend our problem into such a form that converts the system of 10th- & 12th-order BVPs into a new system of 2nd-order BVPs. The appropriate outcomes by using CP Spline and CNP Spline are compared with the exact root. To show the efficiency of our results, absolute errors calculated by using CP Spline and CNP Spline have been compared with other methods like differential transform method, Adomian decomposition method, variational iteration method, cubic B-spline, homotopy perturbation method, 5th- and 6th-order B-spline and our results are very encouraging. Graphs and tables are also presented in the numerical section of this paper.

Keywords: Nonlinear; Nonpolynomial; Absolute Errors; 10th-Order; Polynomial; 12th-Order (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1142/S0218348X22400436

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