Solution to a Class of Coupled Linear Partial Differential Equations Export

@article{Walker_IMAJApplMath87, abstract = {The solution to a coupled system of partial differential equations involving a general linear time-independent operator L is presented. Examples of these equations include coupled diffusion equations or coupled convection-dispersion equations. The solution consists of a convolution of the Green's function appropriate for the operator L and a function independent of the operator L. The method enables one to write software to calculate the solution to a wide range of problems. The change of solution upon changing the problem often only involves a substitution of the Green's function. A specific example of physical significance is given. 10.1093/imamat/38.1.35}, author = {Walker, Glen R.}, citeulike-article-id = {6112039}, citeulike-linkout-0 = {http://dx.doi.org/10.1093/imamat/38.1.35}, citeulike-linkout-1 = {http://imamat.oxfordjournals.org/content/38/1/35.abstract}, citeulike-linkout-2 = {http://imamat.oxfordjournals.org/content/38/1/35.full.pdf}, day = {1}, doi = {10.1093/imamat/38.1.35}, journal = {IMA J Appl Math}, keywords = {mathematics, pde, theory}, month = {January}, number = {1}, pages = {35--48}, posted-at = {2009-11-14 20:00:15}, priority = {2}, title = {Solution to a Class of Coupled Linear Partial Differential Equations}, url = {http://dx.doi.org/10.1093/imamat/38.1.35}, volume = {38}, year = {1987} }

TY - JOUR ID - Walker_IMAJApplMath87 L3 - citeulike-article-id:6112039 N2 - The solution to a coupled system of partial differential equations involving a general linear time-independent operator L is presented. Examples of these equations include coupled diffusion equations or coupled convection-dispersion equations. The solution consists of a convolution of the Green's function appropriate for the operator L and a function independent of the operator L. The method enables one to write software to calculate the solution to a wide range of problems. The change of solution upon changing the problem often only involves a substitution of the Green's function. A specific example of physical significance is given. 10.1093/imamat/38.1.35 IS - 1 JF - IMA J Appl Math EP - 48 TI - Solution to a Class of Coupled Linear Partial Differential Equations VL - 38 SP - 35 KW - mathematics KW - pde KW - theory AU - Walker, Glen PY - 1987/01/01/ UR - http://dx.doi.org/10.1093/imamat/38.1.35 ER -