Abstract
This studymanages the numeric roots of the 7th-order linear&nonlinear boundary value problems (BVPs) utilizing anotherCB(Cubic-B) spline strategy.Cubic Spline interpolation is a different type of spline interpolationwhich is utilized very frequently to escape the problem of Runge's phenomenon.That technique provides an interpolating polynomialwhich is evener and has lesser error than former interpolating polynomials such as Lagrange polynomial and Newton polynomial. The primary thought is that we have altered the BVPs to deliver another framework arrangement of linear equations.We develop the class of numerical techniques for a particular selection of the factors that are associated withCBSpline. The end conditions associated with the BVPs are determined. For each problem, the results obtained by CBSpline is compared with the exact solution. The absolute error(AE) for every iteration is calculated. To show the higher level of preciseness ofCBSpline, the absolute errors of theCB Spline has been compared with different techniques such as Modified DecompositionMethod(MDM),DifferentialTransform Method(DTM),Homotopy PerturbationMethod(HPM),Variational Iteration technique(VIT) and observed to bemore accurate.Graphs that describe the graphical comparison ofCBSpline at n = 5and n = 10 are also included in this paper.The calculation created here isn't just for the numeric roots of the 7th-order BVPs. It also evaluates the derivative to the 7th-order derivative of the specific solution.Afew models are represented, which depicting the practicality and capability of the suggested conspire.
| Original language | English |
|---|---|
| Article number | 104001 |
| Journal | Physica Scripta |
| Volume | 96 |
| Issue number | 10 |
| DOIs | |
| State | Published - Oct 2021 |
Keywords
- Absolute error
- B Spline
- Cubic
- Linear
- Non-linear
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