Fourth-order cubic B-spline collocation method for hyperbolic telegraph equation

Singh, Suruchi; Singh, Swarn; Aggarwal, Anu G.

doi:10.1007/s40096-021-00428-y

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2022

2023

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Cited by 3 publications

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“…Authors in Refs. [18 , 19] handled the differential equations by using splines in their research articles. To present the high order scheme, we have used the Crank-Nicolson method for time direction in the present article.…”

Section: Methods Detailsmentioning

confidence: 99%

A new spline technique for the time fractional diffusion-wave equation

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Singh²,

Aggarwal³

2023

MethodsX

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Section: Methods Detailsmentioning

confidence: 99%

A new spline technique for the time fractional diffusion-wave equation

Singh¹,

Singh²,

Aggarwal³

2023

MethodsX

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Cubic B-spline method for non-linear sine-Gordon equation

Singh

Aggarwal

2022

Comp. Appl. Math.

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A novel B-spline collocation method for Hyperbolic Telegraph equation

Kirli

2023

MATH

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<abstract><p>The present study is concerned with the construction of a new high-order technique to establish approximate solutions of the Telegraph equation (TE). In this technique, a novel optimal B-spline collocation method based on quintic B-spline (QBS) basis functions is constructed to discretize the spatial domain and fourth-order implicit method is derived for time integration. Test problems are considered to verify the theoretical results and to demonstrate the applicability of the suggested technique. The error norm $ L_{\infty } $ and the rate of spatial and temporal convergence are computed and compared with those of techniques available in the literature. The obtained results show the improvement and efficiency of the proposed scheme over the existing ones. Also, it is obviously observed that the experimental rate of convergence is almost compatible with the theoretical rate of convergence.</p></abstract>

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Fourth-order cubic B-spline collocation method for hyperbolic telegraph equation

Cited by 3 publications

References 29 publications

A new spline technique for the time fractional diffusion-wave equation

A new spline technique for the time fractional diffusion-wave equation

Cubic B-spline method for non-linear sine-Gordon equation

A novel B-spline collocation method for Hyperbolic Telegraph equation

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