The　computational　efficiency　of　temporal　algorithms　has　a　great　influence　on　solving　actual　engineering　problems　with　nonlinearity　or　numerous　degrees　of　freedom.　The　explicit　algorithm　is　one　of　the　most　effective　methods　to　improve　the　efficiency.　For　the　fluid-saturated　porous　media　in　the　u-p　form,　the　realization　of　the　explicit-explicit　algorithm　depends　on　the　diagonal　mass　matrix　M　and　fluid　compressibility　matrix　S.　The　accuracy　and　stabilization　of　complete　algorithm　also　need　to　be　considered　as　well.　In　this　paper,　based　on　the　diagonalization　of　M　and　S　matrices,　the　precise　time-integration　with　characters　of　high-accuracy　and　stabilization　was　introduced　to　solve　the　fluid　phase　equation,　and　the　central　difference　method　was　used　to　solve　the　solid-fluid　complete　dynamic　equation.　Consisting　of　the　two　methods,　a　novel　efficiently　explicit-explicit　algorithm　was　proposed.　A　high　level　of　stability　and　accuracy　of　the　algorithm　was　verified　by　theoretical　analysis　and　numerical　examples.　©　2017,　Engineering　Mechanics　Press.　All　right　reserved.