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采用精细积分法求解非线性瞬态热传导方程 .非线性因素包括热辐射边界条件和物性参数可变 .推导了瞬态非线性热传导方程中精细积分法的具体列式 .指出可利用指数矩阵的对称性和带宽特性提高算法的效率 ,并结合预测校正算法求解非线性方程 .数值算例验证了方法的有效性
The precise integration method is used to solve the nonlinear transient heat conduction equation.The nonlinear factors include the boundary condition of thermal radiation and the variable of physical parameters.The specific formulas of the precise integral method in the transient nonlinear heat conduction equation are deduced.The symmetry of the exponential matrix The performance of the proposed algorithm is improved by combining the characteristics of both sex and bandwidth and the predictive correction algorithm is used to solve the nonlinear equation. Numerical examples demonstrate the effectiveness of the proposed method