Applied Mathematics & Information Sciences

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An accurate bound state eigenvalues are evaluated and plotted utilizing the non–relativistic quark model by using three different methods. The methods are employed perfectly within the three-dimensional time–independent Schro ̈dinger equation. Therefore, developing an effective technique to manipulate this well–known equation is the main reason for publishing this study. In this regard, an extensive comparison of the calculated numerical approaches with experimental data was conducted. In most cases, the three considered methods reflected optimal results for heavy mesonic family members by satisfying the minimization condition of χ2 values for each.

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