以下为句子列表：
英文: The treatments simplifies greatly the solution programs which are often performed to solving non-homogeneous equation and second order differential equation on the thermal equilibrium and gradient relationship and the workload of numerical computation at
中文: 这类方法大大简化了人们在分析压电热弹性体耦合问题时通常要求解的非齐次微分方程和关于温度的平衡方程和导热方程的二阶微分方程的繁琐方法，同时，齐次状态方程的提出大大减少了数值计算的工作量。
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