In the present paper, we design a Bessel collocation method for solving one-dimensional nonlinear Bratu’s boundary value problem. Two numerical examples are provided to validate the efficiency and accuracy of the proposed method. Numerical results reveal that the present method yields very accurate approximation to the exact solution of Bratu’s problem. Moreover, the numerical results are compared with those obtained by two other existing methods, namely, optimal homotopy analysis method and the modified variational iteration method.

中文翻译：

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一种求解Bratu问题的Bessel搭配方法

在本文中，我们设计了一种用于求解一维非线性 Bratu 边值问题的 Bessel 搭配方法。提供了两个数值例子来验证所提出方法的效率和准确性。数值结果表明，本方法对 Bratu 问题的精确解产生了非常准确的近似。此外，将数值结果与其他两种现有方法，即最优同伦分析法和改进的变分迭代法得到的结果进行了比较。