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We have extended the dimension of the space fractional diffusion equations with variable coefficients into multi-dimensions. Finally, the generalized problems with two different types of the forcing term have been included demonstrating the applicability and high efficiency of the TSADM in comparison to other existing numerical methods. The diffusion coefficients do not require to satisfy any certain conditions\/restrictions for using the TSADM. There are no restrictions imposed on the problems for diffusion coefficients, and a similar procedures of the TSADM has followed to the obtained analytical solution for the multi-dimensional space fractional diffusion equations with variable coefficients.<\/jats:p>","DOI":"10.1142\/s1793962321500069","type":"journal-article","created":{"date-parts":[[2020,10,28]],"date-time":"2020-10-28T08:01:13Z","timestamp":1603872073000},"page":"2150006","source":"Crossref","is-referenced-by-count":6,"title":["An analytical solution of multi-dimensional space fractional diffusion equations with variable coefficients"],"prefix":"10.1142","volume":"12","author":[{"given":"Pratibha","family":"Verma","sequence":"first","affiliation":[{"name":"Department of Mathematics, Motilal Nehru National Institute of Technology Allahabad, Prayagraj 211004, Uttar Pradesh, India"}]},{"given":"Manoj","family":"Kumar","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Motilal Nehru National Institute of Technology Allahabad, Prayagraj 211004, Uttar Pradesh, India"}]}],"member":"219","published-online":{"date-parts":[[2020,12,29]]},"reference":[{"key":"S1793962321500069BIB001","doi-asserted-by":"publisher","DOI":"10.1007\/s00366-020-01021-y"},{"key":"S1793962321500069BIB002","author":"Zhaopeng H.","year":"2020","journal-title":"Numer. 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