Current work unfolds the transport of energy of blood containing nanoparticles of iron oxide (Fe₃O₄) and mass transport is focalized by considering the homogeneous-heterogeneous chemical process with attached mathematical model of Cross nanofluid. The chemical process is carried out by chemical species and autocatalysis. Nonlinear Partial differential equations (PDEs) are appeared by mathematical model of Cross nanofluid and further delt with transformation for conversion of PDEs into Ordinary differential equations (ODEs). Purpose of numerical outcome of this study is analyzed by two schemes named as two schemes i.e., bvp4c and KELLER-BOX. Comparison of these schemes are investigated through tabular data and statistical bar graphs. From conclusion it is noticed that mass transport is increased with greater homogeneous-heterogeneous chemical parameter. Nanoparticles in fluid boosts the heat transfer. Melting process increase the transport of heat and skin friction. Both schemes are compared and found smooth agreements.

目前的工作揭示了含有氧化铁纳米颗粒（Fe ₃ O ₄) 和质量传输是通过考虑均相-非均相化学过程与附加的交叉纳米流体数学模型来聚焦的。化学过程是通过化学物质和自催化进行的。非线性偏微分方程 (PDE) 是通过 Cross 纳米流体的数学模型出现的，并进一步涉及将 PDE 转换为常微分方程 (ODE) 的变换。本研究的数值结果的目的是通过称为两个方案的两个方案进行分析，即 bvp4c 和 KELLER-BOX。这些方案的比较通过表格数据和统计条形图进行研究。从结论中可以看出，随着均相-非均相化学参数的增加，质量传输增加。流体中的纳米颗粒促进了热传递。熔化过程增加了热量的传递和皮肤摩擦。对这两种方案进行了比较，发现了顺利的协议。