A new analytical method for solving systems of Volterra integral equations
In this paper, a new modified homotopy perturbation method (NHPM) is introduced for solving systems of Volterra integral equations of the second kind. Theorems of existence and uniqueness of the solutions to these equations are presented. Comparison of the results of applying the NHPM with those of the homotopy perturbation method and Adomian's decomposition method leads to significant consequences. Several examples, including the system of linear and nonlinear Volterra integral equations, are given to demonstrate the efficiency of the new method.
Objective To optimize the extraction technology of Yanqing Granule by orthogonal test.Methods Using the contents of chlorogenic acid and total extraction as indexes,choosing solvent volume,extracting duration and extracting times as influential factors,the optimal extraction condition was studied by L9(34) orthogonal test.Results The optimal extraction condition of Yanqing Granule was: 200 mL water for 1/3 amount of drugs,refluxing extraction for 3 times and 0.5 h each time.Conclusion The optimal extraction technology obtained in this study is simple and reproducible,and it has a higher application value in the production of Yanqing Granule.