International Scientific Journal


This study contains an algorithmic solution of the Sine Gordon equation in three space and time dimensional problems. For discretization, the central difference formula is used for the time variable. In contrast, space variable x, y, and z are discretized using the non-polynominal cubic spline functions for each. The proposed scheme brings the accuracy of order O(h2 + k2 + σ2 + τ2h2 + τ2k2 + τ2σ2) by electing suitable parametric values. The paper also discussed the truncation error of the proposed method and obtained the stability analysis. Numerical problems are elucidated by this method and compared to results taken from the literature.
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THERMAL SCIENCE YEAR 2023, VOLUME 27, ISSUE Issue 4, PAGES [3155 - 3170]
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