摘要
利用时间分数阶微积分理论并结合变分迭代法,对含源项的一维时间分数阶种群扩散模型进行求解,得到了模型近似解的表达式;通过与相应整数阶精确解的对比验证了模型的合理性.
Using the new time fractional calculus and combined with the variational iteration method,the one-dimensional time fractional order population diffusion models with source terms are solved,and expressions of the approximate solutions of the model with nonhomogeneous boundary condition are obtained.Finally,the rationality and correctness of the model are verified by comparing with the corresponding integer order exact solution.
作者
贾红刚
赵艳敏
聂玉峰
JIA Hong-gang;ZHAO Yan-min;NIE Yu-feng(College of Science,Xuchang University,Xuchang 461000,Henan,China;School of Mathematics and Statistics,Northwestern Polytechnical University,Xi'an 710072,Shaanxi,China)
出处
《西北师范大学学报（自然科学版）》
CAS
北大核心
2021年第2期5-8,14,共5页
Journal of Northwest Normal University(Natural Science)
基金
国家自然科学基金资助项目(11971416)。
关键词
时间分数阶微积分
种群扩散模型
变分迭代法
源项
time fractional order calculus
population diffusion model
variational iteration method
source term
